130816432896 has 144 divisors (see below), whose sum is σ = 370779915744. Its totient is φ = 40802516992.

The previous prime is 130816432871. The next prime is 130816432897. The reversal of 130816432896 is 698234618031.

It is a super-2 number, since 2×130816432896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (130816432897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2229730 + ... + 2287646.

It is an arithmetic number, because the mean of its divisors is an integer number (2574860526).

Almost surely, 2^130816432896 is an apocalyptic number.

130816432896 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 130816432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185389957872).

130816432896 is an abundant number, since it is smaller than the sum of its proper divisors (239963482848).

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

130816432896 is a wasteful number, since it uses less digits than its factorization.

130816432896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58126 (or 58112 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 130816432896 in words is "one hundred thirty billion, eight hundred sixteen million, four hundred thirty-two thousand, eight hundred ninety-six".