38813858610642 has 48 divisors (see below), whose sum is σ = 91378410789120. Its totient is φ = 11861620624800.

The previous prime is 38813858610617. The next prime is 38813858610643. The reversal of 38813858610642 is 24601685831883.

38813858610642 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 3 + 8 + 5 + 8 + 610 + 6 + 4 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38813858610642.

It is not an unprimeable number, because it can be changed into a prime (38813858610643) 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, 1830486409 + ... + 1830507612.

It is an arithmetic number, because the mean of its divisors is an integer number (1903716891440).

Almost surely, 2^{38813858610642} is an apocalyptic number.

38813858610642 is an abundant number, since it is smaller than the sum of its proper divisors (52564552178478).

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

38813858610642 is a wasteful number, since it uses less digits than its factorization.

38813858610642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660994079 (or 3660994076 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 38813858610642 in words is "thirty-eight trillion, eight hundred thirteen billion, eight hundred fifty-eight million, six hundred ten thousand, six hundred forty-two".