14939304192 has 432 divisors, whose sum is σ = 47523490560. Its totient is φ = 4497113088.

The previous prime is 14939304187. The next prime is 14939304221. The reversal of 14939304192 is 29140393941.

14939304192 is a `hidden beast` number, since 1 + 493 + 9 + 30 + 41 + 92 = 666.

It is a super-2 number, since 2×14939304192² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109045948 + ... + 109046084.

It is an arithmetic number, because the mean of its divisors is an integer number (110008080).

Almost surely, 2^14939304192 is an apocalyptic number.

14939304192 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 14939304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23761745280).

14939304192 is an abundant number, since it is smaller than the sum of its proper divisors (32584186368).

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

14939304192 is a wasteful number, since it uses less digits than its factorization.

14939304192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 14939304192 in words is "fourteen billion, nine hundred thirty-nine million, three hundred four thousand, one hundred ninety-two".