13874402304 has 352 divisors, whose sum is σ = 49733256960. Its totient is φ = 3730046976.

The previous prime is 13874402293. The next prime is 13874402323. The reversal of 13874402304 is 40320447831.

13874402304 is a `hidden beast` number, since 1 + 387 + 4 + 40 + 230 + 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 31 ways as a sum of consecutive naturals, for example, 3288004 + ... + 3292220.

Almost surely, 2^13874402304 is an apocalyptic number.

13874402304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13874402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24866628480).

13874402304 is an abundant number, since it is smaller than the sum of its proper divisors (35858854656).

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

13874402304 is a wasteful number, since it uses less digits than its factorization.

13874402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 13874402304 in words is "thirteen billion, eight hundred seventy-four million, four hundred two thousand, three hundred four".