38505368456757 has 24 divisors (see below), whose sum is σ = 55629162800640. Its totient is φ = 25665493645440.

The previous prime is 38505368456717. The next prime is 38505368456801. The reversal of 38505368456757 is 75765486350583.

38505368456757 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 5 + 3 + 6 + 8 + 4 + 567 + 57 = 666.

It is not a de Polignac number, because 38505368456757 - 2¹⁵ = 38505368423989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38505368456717) 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, 2261421478 + ... + 2261438504.

It is an arithmetic number, because the mean of its divisors is an integer number (2317881783360).

Almost surely, 2^{38505368456757} is an apocalyptic number.

It is an amenable number.

38505368456757 is a deficient number, since it is larger than the sum of its proper divisors (17123794343883).

38505368456757 is a wasteful number, since it uses less digits than its factorization.

38505368456757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48793 (or 48790 counting only the distinct ones).

The product of its (nonzero) digits is 2540160000, while the sum is 72.

The spelling of 38505368456757 in words is "thirty-eight trillion, five hundred five billion, three hundred sixty-eight million, four hundred fifty-six thousand, seven hundred fifty-seven".