38164305226752 has 352 divisors, whose sum is σ = 113753918880000. Its totient is φ = 12639428739072.

The previous prime is 38164305226739. The next prime is 38164305226849. The reversal of 38164305226752 is 25762250346183.

38164305226752 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 4 + 3 + 0 + 522 + 67 + 52 = 666.

It is a super-2 number, since 2×38164305226752² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7369046499 + ... + 7369051677.

Almost surely, 2^{38164305226752} is an apocalyptic number.

38164305226752 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 38164305226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56876959440000).

38164305226752 is an abundant number, since it is smaller than the sum of its proper divisors (75589613653248).

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

38164305226752 is a wasteful number, since it uses less digits than its factorization.

38164305226752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 38164305226752 in words is "thirty-eight trillion, one hundred sixty-four billion, three hundred five million, two hundred twenty-six thousand, seven hundred fifty-two".