38114868028176 has 135 divisors (see below), whose sum is σ = 107541764569863. Its totient is φ = 12601805428800.

The previous prime is 38114868028169. The next prime is 38114868028183. The reversal of 38114868028176 is 67182086841183.

It is a happy number.

The square root of 38114868028176 is 6173724.

It is a perfect power (a square), and thus also a powerful number.

38114868028176 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 486 + 8 + 0 + 2 + 81 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (38114868028169) and next prime (38114868028183).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9408753351 + ... + 9408757401.

Almost surely, 2^{38114868028176} is an apocalyptic number.

38114868028176 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38114868028176 is the 6173724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38114868028176

38114868028176 is an abundant number, since it is smaller than the sum of its proper divisors (69426896541687).

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

38114868028176 is an frugal number, since it uses more digits than its factorization.

38114868028176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8370 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 38114868028176 in words is "thirty-eight trillion, one hundred fourteen billion, eight hundred sixty-eight million, twenty-eight thousand, one hundred seventy-six".