38681408088783 has 64 divisors (see below), whose sum is σ = 62321965056000. Its totient is φ = 23612701174272.

The previous prime is 38681408088773. The next prime is 38681408088811. The reversal of 38681408088783 is 38788080418683.

38681408088783 is a `hidden beast` number, since 3 + 8 + 68 + 1 + 408 + 0 + 8 + 87 + 83 = 666.

It is not a de Polignac number, because 38681408088783 - 2¹² = 38681408084687 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38681408088773) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211839598 + ... + 212022116.

It is an arithmetic number, because the mean of its divisors is an integer number (973780704000).

Almost surely, 2^{38681408088783} is an apocalyptic number.

38681408088783 is a deficient number, since it is larger than the sum of its proper divisors (23640556967217).

38681408088783 is a wasteful number, since it uses less digits than its factorization.

38681408088783 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195061 (or 195055 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 38681408088783 in words is "thirty-eight trillion, six hundred eighty-one billion, four hundred eight million, eighty-eight thousand, seven hundred eighty-three".