38455964531712 has 2112 divisors, whose sum is σ = 153899787686400. Its totient is φ = 9370734428160.

The previous prime is 38455964531707. The next prime is 38455964531801. The reversal of 38455964531712 is 21713546955483.

38455964531712 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 5 + 9 + 6 + 453 + 171 + 2 = 666.

It is a super-2 number, since 2×38455964531712² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 38455964531712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13719572103 + ... + 13719574905.

Almost surely, 2^{38455964531712} is an apocalyptic number.

38455964531712 is a gapful number since it is divisible by the number (32) 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 38455964531712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76949893843200).

38455964531712 is an abundant number, since it is smaller than the sum of its proper divisors (115443823154688).

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

38455964531712 is a wasteful number, since it uses less digits than its factorization.

38455964531712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2888 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 38455964531712 in words is "thirty-eight trillion, four hundred fifty-five billion, nine hundred sixty-four million, five hundred thirty-one thousand, seven hundred twelve".