13644745920 has 896 divisors, whose sum is σ = 55302912000. Its totient is φ = 3143024640.

The previous prime is 13644745913. The next prime is 13644745931. The reversal of 13644745920 is 2954744631.

13644745920 is a `hidden beast` number, since 13 + 6 + 4 + 47 + 4 + 592 + 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192179485 + ... + 192179555.

It is an arithmetic number, because the mean of its divisors is an integer number (61722000).

Almost surely, 2^13644745920 is an apocalyptic number.

13644745920 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 13644745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651456000).

13644745920 is an abundant number, since it is smaller than the sum of its proper divisors (41658166080).

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

13644745920 is a wasteful number, since it uses less digits than its factorization.

13644745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13644745920 in words is "thirteen billion, six hundred forty-four million, seven hundred forty-five thousand, nine hundred twenty".