38057177146464 has 144 divisors (see below), whose sum is σ = 123813738816768. Its totient is φ = 10862234078976.

The previous prime is 38057177146447. The next prime is 38057177146489. The reversal of 38057177146464 is 46464177175083.

It is a happy number.

38057177146464 is a `hidden beast` number, since 3 + 8 + 0 + 57 + 17 + 71 + 46 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7811422 + ... + 11710365.

It is an arithmetic number, because the mean of its divisors is an integer number (859817630672).

Almost surely, 2^{38057177146464} is an apocalyptic number.

It is an amenable number.

38057177146464 is an abundant number, since it is smaller than the sum of its proper divisors (85756561670304).

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

38057177146464 is a wasteful number, since it uses less digits than its factorization.

38057177146464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19522777 (or 19522766 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 38057177146464 in words is "thirty-eight trillion, fifty-seven billion, one hundred seventy-seven million, one hundred forty-six thousand, four hundred sixty-four".