32982399426816 has 216 divisors, whose sum is σ = 110899581228800. Its totient is φ = 9423542467584.

The previous prime is 32982399426797. The next prime is 32982399426839. The reversal of 32982399426816 is 61862499328923.

It is a happy number.

32982399426816 is a `hidden beast` number, since 3 + 2 + 98 + 2 + 39 + 9 + 426 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 20077480 + ... + 21658023.

Almost surely, 2^{32982399426816} is an apocalyptic number.

32982399426816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32982399426816 is an abundant number, since it is smaller than the sum of its proper divisors (77917181801984).

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

32982399426816 is an equidigital number, since it uses as much as digits as its factorization.

32982399426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41735546 (or 41735515 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 32982399426816 in words is "thirty-two trillion, nine hundred eighty-two billion, three hundred ninety-nine million, four hundred twenty-six thousand, eight hundred sixteen".