14978931408 has 240 divisors, whose sum is σ = 49451723776. Its totient is φ = 4143052800.

The previous prime is 14978931329. The next prime is 14978931419. The reversal of 14978931408 is 80413987941.

14978931408 is a `hidden beast` number, since 1 + 497 + 8 + 9 + 3 + 140 + 8 = 666.

14978931408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14978931408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8316108 + ... + 8317908.

Almost surely, 2^14978931408 is an apocalyptic number.

14978931408 is a gapful number since it is divisible by the number (18) 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 14978931408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24725861888).

14978931408 is an abundant number, since it is smaller than the sum of its proper divisors (34472792368).

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

14978931408 is a wasteful number, since it uses less digits than its factorization.

14978931408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 14978931408 in words is "fourteen billion, nine hundred seventy-eight million, nine hundred thirty-one thousand, four hundred eight".