14881979520 has 576 divisors, whose sum is σ = 57563171640. Its totient is φ = 3530096640.

The previous prime is 14881979479. The next prime is 14881979533. The reversal of 14881979520 is 2597918841.

It is a happy number.

14881979520 is a `hidden beast` number, since 1 + 48 + 8 + 1 + 9 + 79 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9082852416 + 5799127104 = 95304^2 + 76152^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35348910 + ... + 35349330.

Almost surely, 2^14881979520 is an apocalyptic number.

14881979520 is a gapful number since it is divisible by the number (10) 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 14881979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28781585820).

14881979520 is an abundant number, since it is smaller than the sum of its proper divisors (42681192120).

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

14881979520 is a wasteful number, since it uses less digits than its factorization.

14881979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 14881979520 in words is "fourteen billion, eight hundred eighty-one million, nine hundred seventy-nine thousand, five hundred twenty".