14931929124 has 336 divisors, whose sum is σ = 48732340608. Its totient is φ = 3903427584.

The previous prime is 14931929041. The next prime is 14931929137. The reversal of 14931929124 is 42192913941.

14931929124 is a `hidden beast` number, since 1 + 49 + 319 + 291 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14931929124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12838567 + ... + 12839729.

It is an arithmetic number, because the mean of its divisors is an integer number (145036728).

Almost surely, 2^14931929124 is an apocalyptic number.

14931929124 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 14931929124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24366170304).

14931929124 is an abundant number, since it is smaller than the sum of its proper divisors (33800411484).

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

14931929124 is a wasteful number, since it uses less digits than its factorization.

14931929124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1229 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 14931929124 in words is "fourteen billion, nine hundred thirty-one million, nine hundred twenty-nine thousand, one hundred twenty-four".