1557657696417 has 16 divisors (see below), whose sum is σ = 2078860447488. Its totient is φ = 1037446899840.

The previous prime is 1557657696403. The next prime is 1557657696443. The reversal of 1557657696417 is 7146967567551.

It is not a de Polignac number, because 1557657696417 - 2⁴ = 1557657696401 is a prime.

It is a super-2 number, since 2×1557657696417² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1557657696467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44457768 + ... + 44492790.

It is an arithmetic number, because the mean of its divisors is an integer number (129928777968).

Almost surely, 2^{1557657696417} is an apocalyptic number.

It is an amenable number.

1557657696417 is a deficient number, since it is larger than the sum of its proper divisors (521202751071).

1557657696417 is a wasteful number, since it uses less digits than its factorization.

1557657696417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48760.

The product of its digits is 333396000, while the sum is 69.

The spelling of 1557657696417 in words is "one trillion, five hundred fifty-seven billion, six hundred fifty-seven million, six hundred ninety-six thousand, four hundred seventeen".