57948085373681 has 2 divisors, whose sum is σ = 57948085373682. Its totient is φ = 57948085373680.

The previous prime is 57948085373669. The next prime is 57948085373693. The reversal of 57948085373681 is 18637358084975.

It is a balanced prime because it is at equal distance from previous prime (57948085373669) and next prime (57948085373693).

It can be written as a sum of positive squares in only one way, i.e., 44733290007025 + 13214795366656 = 6688295^2 + 3635216^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57948085373681 is a prime.

It is a super-2 number, since 2×57948085373681² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57948085373599 and 57948085373608.

It is not a weakly prime, because it can be changed into another prime (57948085373611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28974042686840 + 28974042686841.

It is an arithmetic number, because the mean of its divisors is an integer number (28974042686841).

Almost surely, 2^{57948085373681} is an apocalyptic number.

It is an amenable number.

57948085373681 is a deficient number, since it is larger than the sum of its proper divisors (1).

57948085373681 is an equidigital number, since it uses as much as digits as its factorization.

57948085373681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1219276800, while the sum is 74.

The spelling of 57948085373681 in words is "fifty-seven trillion, nine hundred forty-eight billion, eighty-five million, three hundred seventy-three thousand, six hundred eighty-one".