11624982457257 has 96 divisors (see below), whose sum is σ = 18619520774400. Its totient is φ = 6942721476096.

The previous prime is 11624982457229. The next prime is 11624982457267. The reversal of 11624982457257 is 75275428942611.

11624982457257 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 4 + 9 + 8 + 2 + 4 + 572 + 57 = 666.

It is not a de Polignac number, because 11624982457257 - 2³⁵ = 11590622718889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11624982457194 and 11624982457203.

It is not an unprimeable number, because it can be changed into a prime (11624982457267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3567038094 + ... + 3567041352.

It is an arithmetic number, because the mean of its divisors is an integer number (193953341400).

Almost surely, 2^{11624982457257} is an apocalyptic number.

It is an amenable number.

11624982457257 is a deficient number, since it is larger than the sum of its proper divisors (6994538317143).

11624982457257 is a wasteful number, since it uses less digits than its factorization.

11624982457257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5164 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 11624982457257 in words is "eleven trillion, six hundred twenty-four billion, nine hundred eighty-two million, four hundred fifty-seven thousand, two hundred fifty-seven".