13457901568 has 48 divisors (see below), whose sum is σ = 27278154540. Its totient is φ = 6636699648.

The previous prime is 13457901547. The next prime is 13457901637. The reversal of 13457901568 is 86510975431.

It can be written as a sum of positive squares in 2 ways, for example, as 12551169024 + 906732544 = 112032^2 + 30112^2 .

It is a super-2 number, since 2×13457901568² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104496 + ... + 194512.

Almost surely, 2^13457901568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13457901568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13639077270).

13457901568 is an abundant number, since it is smaller than the sum of its proper divisors (13820252972).

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

13457901568 is an frugal number, since it uses more digits than its factorization.

13457901568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90112 (or 90092 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 13457901568 in words is "thirteen billion, four hundred fifty-seven million, nine hundred one thousand, five hundred sixty-eight".