38556918777601 has 16 divisors (see below), whose sum is σ = 45486860682240. Its totient is φ = 31982446290240.

The previous prime is 38556918777557. The next prime is 38556918777691. The reversal of 38556918777601 is 10677781965583.

It is a cyclic number.

It is not a de Polignac number, because 38556918777601 - 2⁷ = 38556918777473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38556918777691) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30106215 + ... + 31360771.

It is an arithmetic number, because the mean of its divisors is an integer number (2842928792640).

Almost surely, 2^{38556918777601} is an apocalyptic number.

38556918777601 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

38556918777601 is a deficient number, since it is larger than the sum of its proper divisors (6929941904639).

38556918777601 is a wasteful number, since it uses less digits than its factorization.

38556918777601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396224.

The product of its (nonzero) digits is 533433600, while the sum is 73.

The spelling of 38556918777601 in words is "thirty-eight trillion, five hundred fifty-six billion, nine hundred eighteen million, seven hundred seventy-seven thousand, six hundred one".