57146444464175 has 12 divisors (see below), whose sum is σ = 77303553966456. Its totient is φ = 41561050519200.

The previous prime is 57146444464103. The next prime is 57146444464229.

57146444464175 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57146444464175 - 2⁸ = 57146444463919 is a prime.

It is a super-2 number, since 2×57146444464175² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103902626024 + ... + 103902626573.

It is an arithmetic number, because the mean of its divisors is an integer number (6441962830538).

Almost surely, 2^{57146444464175} is an apocalyptic number.

57146444464175 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57146444464175 is a deficient number, since it is larger than the sum of its proper divisors (20157109502281).

57146444464175 is a wasteful number, since it uses less digits than its factorization.

57146444464175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207805252618 (or 207805252613 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 62.

The spelling of 57146444464175 in words is "fifty-seven trillion, one hundred forty-six billion, four hundred forty-four million, four hundred sixty-four thousand, one hundred seventy-five".