13239648900 has 216 divisors, whose sum is σ = 42608835360. Its totient is φ = 3437406720.

The previous prime is 13239648899. The next prime is 13239648937. The reversal of 13239648900 is 984693231.

It is a happy number.

13239648900 is a `hidden beast` number, since 132 + 39 + 6 + 489 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5365467 + ... + 5367933.

Almost surely, 2^13239648900 is an apocalyptic number.

13239648900 is a gapful number since it is divisible by the number (10) 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 13239648900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21304417680).

13239648900 is an abundant number, since it is smaller than the sum of its proper divisors (29369186460).

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

13239648900 is a wasteful number, since it uses less digits than its factorization.

13239648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13239648900 in words is "thirteen billion, two hundred thirty-nine million, six hundred forty-eight thousand, nine hundred".