38508025814192 has 80 divisors (see below), whose sum is σ = 81808154419200. Its totient is φ = 17414160192000.

The previous prime is 38508025814191. The next prime is 38508025814197. The reversal of 38508025814192 is 29141852080583.

It is a super-2 number, since 2×38508025814192² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38508025814191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461679692 + ... + 461763092.

It is an arithmetic number, because the mean of its divisors is an integer number (1022601930240).

Almost surely, 2^{38508025814192} 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 38508025814192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40904077209600).

38508025814192 is an abundant number, since it is smaller than the sum of its proper divisors (43300128605008).

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

38508025814192 is a wasteful number, since it uses less digits than its factorization.

38508025814192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96802 (or 96796 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 56.

The spelling of 38508025814192 in words is "thirty-eight trillion, five hundred eight billion, twenty-five million, eight hundred fourteen thousand, one hundred ninety-two".