57145063401 has 12 divisors (see below), whose sum is σ = 84773758212. Its totient is φ = 37067067936.

The previous prime is 57145063397. The next prime is 57145063421. The reversal of 57145063401 is 10436054175.

57145063401 is a `hidden beast` number, since 5 + 7 + 14 + 5 + 0 + 634 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31763794176 + 25381269225 = 178224^2 + 159315^2 .

It is not a de Polignac number, because 57145063401 - 2² = 57145063397 is a prime.

It is a super-2 number, since 2×57145063401² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57145063421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85803066 + ... + 85803731.

It is an arithmetic number, because the mean of its divisors is an integer number (7064479851).

Almost surely, 2^57145063401 is an apocalyptic number.

It is an amenable number.

57145063401 is a deficient number, since it is larger than the sum of its proper divisors (27628694811).

57145063401 is a wasteful number, since it uses less digits than its factorization.

57145063401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171606840 (or 171606837 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 57145063401 in words is "fifty-seven billion, one hundred forty-five million, sixty-three thousand, four hundred one".