13649412900 has 72 divisors (see below), whose sum is σ = 39546816064. Its totient is φ = 3634819200.

The previous prime is 13649412899. The next prime is 13649412923. The reversal of 13649412900 is 921494631.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188865 + ... + 250935.

Almost surely, 2^13649412900 is an apocalyptic number.

13649412900 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 13649412900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19773408032).

13649412900 is an abundant number, since it is smaller than the sum of its proper divisors (25897403164).

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

13649412900 is a wasteful number, since it uses less digits than its factorization.

13649412900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62821 (or 62814 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 13649412900 in words is "thirteen billion, six hundred forty-nine million, four hundred twelve thousand, nine hundred".