13132974624 has 384 divisors, whose sum is σ = 44442058752. Its totient is φ = 3297162240.

The previous prime is 13132974619. The next prime is 13132974637. The reversal of 13132974624 is 42647923131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35784489 + ... + 35784855.

It is an arithmetic number, because the mean of its divisors is an integer number (115734528).

Almost surely, 2^13132974624 is an apocalyptic number.

13132974624 is a gapful number since it is divisible by the number (14) 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 13132974624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221029376).

13132974624 is an abundant number, since it is smaller than the sum of its proper divisors (31309084128).

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

13132974624 is a wasteful number, since it uses less digits than its factorization.

13132974624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The spelling of 13132974624 in words is "thirteen billion, one hundred thirty-two million, nine hundred seventy-four thousand, six hundred twenty-four".