13097633472 has 448 divisors, whose sum is σ = 48368102400. Its totient is φ = 3376373760.

The previous prime is 13097633443. The next prime is 13097633473. The reversal of 13097633472 is 27433679031.

It is a happy number.

13097633472 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 7 + 633 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13097633473) by changing a digit.

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, 23018404 + ... + 23018972.

Almost surely, 2^13097633472 is an apocalyptic number.

13097633472 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 13097633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24184051200).

13097633472 is an abundant number, since it is smaller than the sum of its proper divisors (35270468928).

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

13097633472 is a wasteful number, since it uses less digits than its factorization.

13097633472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 13097633472 in words is "thirteen billion, ninety-seven million, six hundred thirty-three thousand, four hundred seventy-two".