13514933916 has 288 divisors, whose sum is σ = 40316290560. Its totient is φ = 3930534720.

The previous prime is 13514933903. The next prime is 13514933923. The reversal of 13514933916 is 61933941531.

13514933916 is a `hidden beast` number, since 1 + 3 + 514 + 93 + 39 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80927665 + ... + 80927831.

It is an arithmetic number, because the mean of its divisors is an integer number (139987120).

Almost surely, 2^13514933916 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 13514933916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20158145280).

13514933916 is an abundant number, since it is smaller than the sum of its proper divisors (26801356644).

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

13514933916 is a wasteful number, since it uses less digits than its factorization.

13514933916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 212 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The spelling of 13514933916 in words is "thirteen billion, five hundred fourteen million, nine hundred thirty-three thousand, nine hundred sixteen".