13232595456 has 300 divisors, whose sum is σ = 42126573258. Its totient is φ = 4121100288.

The previous prime is 13232595437. The next prime is 13232595469. The reversal of 13232595456 is 65459523231.

13232595456 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 595 + 4 + 56 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12908595456 + 324000000 = 113616^2 + 18000^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 96588220 + ... + 96588356.

Almost surely, 2^13232595456 is an apocalyptic number.

13232595456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13232595456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21063286629).

13232595456 is an abundant number, since it is smaller than the sum of its proper divisors (28893977802).

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

13232595456 is an frugal number, since it uses more digits than its factorization.

13232595456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 159 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 13232595456 in words is "thirteen billion, two hundred thirty-two million, five hundred ninety-five thousand, four hundred fifty-six".