13431882816 has 189 divisors, whose sum is σ = 42414871863. Its totient is φ = 4060995840.

The previous prime is 13431882809. The next prime is 13431882851. The reversal of 13431882816 is 61828813431.

The square root of 13431882816 is 115896.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30596325 + ... + 30596763.

Almost surely, 2^13431882816 is an apocalyptic number.

13431882816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13431882816 is the 115896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13431882816

13431882816 is an abundant number, since it is smaller than the sum of its proper divisors (28982989047).

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

13431882816 is an equidigital number, since it uses as much as digits as its factorization.

13431882816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 455 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 13431882816 in words is "thirteen billion, four hundred thirty-one million, eight hundred eighty-two thousand, eight hundred sixteen".