13645294800 has 240 divisors, whose sum is σ = 47776799232. Its totient is φ = 3314073600.

The previous prime is 13645294799. The next prime is 13645294823. The reversal of 13645294800 is 849254631.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621612 + ... + 643188.

Almost surely, 2^13645294800 is an apocalyptic number.

13645294800 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 13645294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888399616).

13645294800 is an abundant number, since it is smaller than the sum of its proper divisors (34131504432).

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

13645294800 is a wasteful number, since it uses less digits than its factorization.

13645294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21646 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 13645294800 in words is "thirteen billion, six hundred forty-five million, two hundred ninety-four thousand, eight hundred".