13457695258656 has 96 divisors (see below), whose sum is σ = 42819939489600. Its totient is φ = 4078089469440.

The previous prime is 13457695258589. The next prime is 13457695258727. The reversal of 13457695258656 is 65685259675431.

13457695258656 is a `hidden beast` number, since 1 + 3 + 45 + 7 + 6 + 9 + 525 + 8 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13457695258656² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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, 707992141 + ... + 708011148.

It is an arithmetic number, because the mean of its divisors is an integer number (446041036350).

Almost surely, 2^{13457695258656} is an apocalyptic number.

13457695258656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13457695258656 is an abundant number, since it is smaller than the sum of its proper divisors (29362244230944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13457695258656 is a wasteful number, since it uses less digits than its factorization.

13457695258656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416003319 (or 1416003305 counting only the distinct ones).

The product of its digits is 1632960000, while the sum is 72.

The spelling of 13457695258656 in words is "thirteen trillion, four hundred fifty-seven billion, six hundred ninety-five million, two hundred fifty-eight thousand, six hundred fifty-six".