13904980992 has 352 divisors, whose sum is σ = 47697392640. Its totient is φ = 3968372736.

The previous prime is 13904980939. The next prime is 13904981009. The reversal of 13904980992 is 29908940931.

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, 15675973 + ... + 15676859.

Almost surely, 2^13904980992 is an apocalyptic number.

13904980992 is a gapful number since it is divisible by the number (12) 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 13904980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23848696320).

13904980992 is an abundant number, since it is smaller than the sum of its proper divisors (33792411648).

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

13904980992 is an frugal number, since it uses more digits than its factorization.

13904980992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 13904980992 in words is "thirteen billion, nine hundred four million, nine hundred eighty thousand, nine hundred ninety-two".