38130116836608 has 216 divisors, whose sum is σ = 114022399833888. Its totient is φ = 12708692785152.

The previous prime is 38130116836601. The next prime is 38130116836633. The reversal of 38130116836608 is 80663861103183.

38130116836608 is a `hidden beast` number, since 3 + 8 + 13 + 0 + 1 + 16 + 8 + 3 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (38130116836601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713312410 + ... + 713365862.

Almost surely, 2^{38130116836608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38130116836608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57011199916944).

38130116836608 is an abundant number, since it is smaller than the sum of its proper divisors (75892282997280).

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

38130116836608 is an equidigital number, since it uses as much as digits as its factorization.

38130116836608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64951 (or 64925 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 38130116836608 in words is "thirty-eight trillion, one hundred thirty billion, one hundred sixteen million, eight hundred thirty-six thousand, six hundred eight".