13893450624 has 96 divisors (see below), whose sum is σ = 40085510400. Its totient is φ = 4618911744.

The previous prime is 13893450611. The next prime is 13893450709. The reversal of 13893450624 is 42605439831.

13893450624 is a `hidden beast` number, since 1 + 38 + 93 + 4 + 506 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13893450624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425472 + ... + 456960.

It is an arithmetic number, because the mean of its divisors is an integer number (417557400).

Almost surely, 2^13893450624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13893450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042755200).

13893450624 is an abundant number, since it is smaller than the sum of its proper divisors (26192059776).

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

13893450624 is a wasteful number, since it uses less digits than its factorization.

13893450624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31892 (or 31877 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13893450624 in words is "thirteen billion, eight hundred ninety-three million, four hundred fifty thousand, six hundred twenty-four".