10161163421136 has 800 divisors, whose sum is σ = 36862859872000. Its totient is φ = 2679867275904.

The previous prime is 10161163421119. The next prime is 10161163421177. The reversal of 10161163421136 is 63112436116101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10161163421136 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 1 + 634 + 2 + 1 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 10161163421136 = 1274³ + 21658³ = 9555³ + 21021³.

It is a self number, because there is not a number n which added to its sum of digits gives 10161163421136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 781627955466 + ... + 781627955478.

It is an arithmetic number, because the mean of its divisors is an integer number (46078574840).

Almost surely, 2^{10161163421136} is an apocalyptic number.

10161163421136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10161163421136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431429936000).

10161163421136 is an abundant number, since it is smaller than the sum of its proper divisors (26701696450864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10161163421136 is an frugal number, since it uses more digits than its factorization.

10161163421136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 10161163421136 its reverse (63112436116101), we get a palindrome (73273599537237).

The spelling of 10161163421136 in words is "ten trillion, one hundred sixty-one billion, one hundred sixty-three million, four hundred twenty-one thousand, one hundred thirty-six".