13815120384 has 480 divisors, whose sum is σ = 46186043904. Its totient is φ = 3941498880.

The previous prime is 13815120379. The next prime is 13815120401. The reversal of 13815120384 is 48302151831.

13815120384 is a `hidden beast` number, since 138 + 1 + 512 + 0 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 50978169 + ... + 50978439.

Almost surely, 2^13815120384 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 13815120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23093021952).

13815120384 is an abundant number, since it is smaller than the sum of its proper divisors (32370923520).

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

13815120384 is a wasteful number, since it uses less digits than its factorization.

13815120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 13815120384 in words is "thirteen billion, eight hundred fifteen million, one hundred twenty thousand, three hundred eighty-four".