14980974624 has 360 divisors, whose sum is σ = 55916351568. Its totient is φ = 3890799360.

The previous prime is 14980974607. The next prime is 14980974643. The reversal of 14980974624 is 42647908941.

14980974624 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 0 + 9 + 7 + 4 + 624 = 666.

14980974624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1391727 + ... + 1402449.

Almost surely, 2^14980974624 is an apocalyptic number.

14980974624 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 14980974624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27958175784).

14980974624 is an abundant number, since it is smaller than the sum of its proper divisors (40935376944).

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

14980974624 is a wasteful number, since it uses less digits than its factorization.

14980974624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14980974624 in words is "fourteen billion, nine hundred eighty million, nine hundred seventy-four thousand, six hundred twenty-four".