10161336444012 has 216 divisors, whose sum is σ = 28215924753744. Its totient is φ = 3081382207488.

The previous prime is 10161336443989. The next prime is 10161336444037. The reversal of 10161336444012 is 21044463316101.

10161336444012 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 1 + 3 + 3 + 644 + 4 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×10161336444012² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 633768348 + ... + 633784380.

Almost surely, 2^{10161336444012} is an apocalyptic number.

10161336444012 is a gapful number since it is divisible by the number (12) 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 10161336444012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107962376872).

10161336444012 is an abundant number, since it is smaller than the sum of its proper divisors (18054588309732).

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

10161336444012 is a wasteful number, since it uses less digits than its factorization.

10161336444012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17569 (or 17551 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10161336444012 in words is "ten trillion, one hundred sixty-one billion, three hundred thirty-six million, four hundred forty-four thousand, twelve".