14880493056 has 320 divisors, whose sum is σ = 47857936896. Its totient is φ = 4047667200.

The previous prime is 14880493013. The next prime is 14880493109. The reversal of 14880493056 is 65039408841.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 14880492996 and 14880493014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8126061 + ... + 8127891.

Almost surely, 2^14880493056 is an apocalyptic number.

14880493056 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 14880493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23928968448).

14880493056 is an abundant number, since it is smaller than the sum of its proper divisors (32977443840).

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

14880493056 is a wasteful number, since it uses less digits than its factorization.

14880493056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

It can be divided in two parts, 148804 and 93056, that added together give a triangular number (241860 = T₆₉₅).

The spelling of 14880493056 in words is "fourteen billion, eight hundred eighty million, four hundred ninety-three thousand, fifty-six".