13332979296 has 768 divisors, whose sum is σ = 51128340480. Its totient is φ = 3284582400.

The previous prime is 13332979259. The next prime is 13332979313. The reversal of 13332979296 is 69297923331.

13332979296 is a `hidden beast` number, since 13 + 332 + 9 + 7 + 9 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132009646 + ... + 132009746.

It is an arithmetic number, because the mean of its divisors is an integer number (66573360).

Almost surely, 2^13332979296 is an apocalyptic number.

13332979296 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 13332979296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25564170240).

13332979296 is an abundant number, since it is smaller than the sum of its proper divisors (37795361184).

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

13332979296 is a wasteful number, since it uses less digits than its factorization.

13332979296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 222 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 54.

The spelling of 13332979296 in words is "thirteen billion, three hundred thirty-two million, nine hundred seventy-nine thousand, two hundred ninety-six".