13388963904 has 224 divisors, whose sum is σ = 41859037440. Its totient is φ = 4182073344.

The previous prime is 13388963897. The next prime is 13388963911. The reversal of 13388963904 is 40936988331.

It is an interprime number because it is at equal distance from previous prime (13388963897) and next prime (13388963911).

It is a super-2 number, since 2×13388963904² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7725022 + ... + 7726754.

Almost surely, 2^13388963904 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 13388963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20929518720).

13388963904 is an abundant number, since it is smaller than the sum of its proper divisors (28470073536).

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

13388963904 is a wasteful number, since it uses less digits than its factorization.

13388963904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 13388963904 in words is "thirteen billion, three hundred eighty-eight million, nine hundred sixty-three thousand, nine hundred four".