13364521404 has 192 divisors, whose sum is σ = 35741368320. Its totient is φ = 3855962880.

The previous prime is 13364521351. The next prime is 13364521411. The reversal of 13364521404 is 40412546331.

It is a happy number.

It is a super-2 number, since 2×13364521404² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63338859 + ... + 63339069.

It is an arithmetic number, because the mean of its divisors is an integer number (186152960).

Almost surely, 2^13364521404 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 13364521404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870684160).

13364521404 is an abundant number, since it is smaller than the sum of its proper divisors (22376846916).

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

13364521404 is a wasteful number, since it uses less digits than its factorization.

13364521404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 13364521404 in words is "thirteen billion, three hundred sixty-four million, five hundred twenty-one thousand, four hundred four".