13312748592 has 480 divisors, whose sum is σ = 45661202496. Its totient is φ = 3566592000.

The previous prime is 13312748573. The next prime is 13312748599. The reversal of 13312748592 is 29584721331.

It is a happy number.

13312748592 is a `hidden beast` number, since 1 + 3 + 3 + 12 + 7 + 48 + 592 = 666.

It is not an unprimeable number, because it can be changed into a prime (13312748599) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76952218 + ... + 76952390.

Almost surely, 2^13312748592 is an apocalyptic number.

13312748592 is a gapful number since it is divisible by the number (12) 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 13312748592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22830601248).

13312748592 is an abundant number, since it is smaller than the sum of its proper divisors (32348453904).

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

13312748592 is a wasteful number, since it uses less digits than its factorization.

13312748592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

It can be divided in two parts, 133 and 12748592, that added together give a triangular number (12748725 = T₅₀₄₉).

The spelling of 13312748592 in words is "thirteen billion, three hundred twelve million, seven hundred forty-eight thousand, five hundred ninety-two".