957644259649 has 81 divisors (see below), whose sum is σ = 1248939221313. Its totient is φ = 731596126800.

The previous prime is 957644259617. The next prime is 957644259653. The reversal of 957644259649 is 946952446759.

The square root of 957644259649 is 978593.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 957644259649 - 2⁵ = 957644259617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (957644259659) 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 80 ways as a sum of consecutive naturals, for example, 5349967842 + ... + 5349968020.

Almost surely, 2^957644259649 is an apocalyptic number.

957644259649 is the 978593-rd square number.

957644259649 is the 489297-th centered octagonal number.

It is an amenable number.

957644259649 is a deficient number, since it is larger than the sum of its proper divisors (291294961664).

957644259649 is an equidigital number, since it uses as much as digits as its factorization.

957644259649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 268 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 70.

The spelling of 957644259649 in words is "nine hundred fifty-seven billion, six hundred forty-four million, two hundred fifty-nine thousand, six hundred forty-nine".