8388013824 has 108 divisors (see below), whose sum is σ = 25018866600. Its totient is φ = 2699569152.

The previous prime is 8388013811. The next prime is 8388013859. The reversal of 8388013824 is 4283108838.

It is a self number, because there is not a number n which added to its sum of digits gives 8388013824.

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, 4047 + ... + 129585.

Almost surely, 2^8388013824 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 8388013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509433300).

8388013824 is an abundant number, since it is smaller than the sum of its proper divisors (16630852776).

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

8388013824 is a wasteful number, since it uses less digits than its factorization.

8388013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125590 (or 125573 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8388013824 is about 91586.1006048407. The cubic root of 8388013824 is about 2031.8253719772.

The spelling of 8388013824 in words is "eight billion, three hundred eighty-eight million, thirteen thousand, eight hundred twenty-four".