14967939456 has 160 divisors (see below), whose sum is σ = 45386470800. Its totient is φ = 4894995456.

The previous prime is 14967939443. The next prime is 14967939473. The reversal of 14967939456 is 65493976941.

14967939456 is a `hidden beast` number, since 1 + 4 + 96 + 7 + 93 + 9 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14967939393 and 14967939402.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 535885 + ... + 563123.

Almost surely, 2^14967939456 is an apocalyptic number.

14967939456 is a gapful number since it is divisible by the number (16) 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 14967939456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22693235400).

14967939456 is an abundant number, since it is smaller than the sum of its proper divisors (30418531344).

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

14967939456 is an equidigital number, since it uses as much as digits as its factorization.

14967939456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27318 (or 27297 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 14967939456 in words is "fourteen billion, nine hundred sixty-seven million, nine hundred thirty-nine thousand, four hundred fifty-six".