10169437643712 has 448 divisors, whose sum is σ = 32352203520000. Its totient is φ = 3120230006784.

The previous prime is 10169437643711. The next prime is 10169437643741. The reversal of 10169437643712 is 21734673496101.

10169437643712 is a `hidden beast` number, since 1 + 0 + 169 + 4 + 37 + 6 + 437 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10169437643711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3726432364 + ... + 3726435092.

It is an arithmetic number, because the mean of its divisors is an integer number (72214740000).

Almost surely, 2^{10169437643712} is an apocalyptic number.

10169437643712 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 10169437643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176101760000).

10169437643712 is an abundant number, since it is smaller than the sum of its proper divisors (22182765876288).

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

10169437643712 is a wasteful number, since it uses less digits than its factorization.

10169437643712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 10169437643712 in words is "ten trillion, one hundred sixty-nine billion, four hundred thirty-seven million, six hundred forty-three thousand, seven hundred twelve".