38536133746752 has 84 divisors (see below), whose sum is σ = 110457791355756. Its totient is φ = 12845270707200.

The previous prime is 38536133746751. The next prime is 38536133746757. The reversal of 38536133746752 is 25764733163583.

38536133746752 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 613 + 3 + 7 + 4 + 6 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16121060130816 + 22415073615936 = 4015104^2 + 4734456^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38536133746752.

It is not an unprimeable number, because it can be changed into a prime (38536133746751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100090038 + ... + 100474314.

Almost surely, 2^{38536133746752} is an apocalyptic number.

38536133746752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38536133746752 is an abundant number, since it is smaller than the sum of its proper divisors (71921657609004).

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

38536133746752 is a wasteful number, since it uses less digits than its factorization.

38536133746752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558396 (or 558383 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 63.

The spelling of 38536133746752 in words is "thirty-eight trillion, five hundred thirty-six billion, one hundred thirty-three million, seven hundred forty-six thousand, seven hundred fifty-two".