38958558225408 has 88 divisors (see below), whose sum is σ = 115376401539360. Its totient is φ = 12986186065920.

The previous prime is 38958558225397. The next prime is 38958558225449. The reversal of 38958558225408 is 80452285585983.

38958558225408 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 8 + 5 + 58 + 22 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 704518038 + ... + 704573333.

Almost surely, 2^{38958558225408} is an apocalyptic number.

It is an amenable number.

38958558225408 is an abundant number, since it is smaller than the sum of its proper divisors (76417843313952).

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

38958558225408 is a wasteful number, since it uses less digits than its factorization.

38958558225408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409091400 (or 1409091376 counting only the distinct ones).

The product of its (nonzero) digits is 1105920000, while the sum is 72.

The spelling of 38958558225408 in words is "thirty-eight trillion, nine hundred fifty-eight billion, five hundred fifty-eight million, two hundred twenty-five thousand, four hundred eight".