332946986112 has 256 divisors, whose sum is σ = 1060487635200. Its totient is φ = 102228148224.

The previous prime is 332946986087. The next prime is 332946986173. The reversal of 332946986112 is 211689649233.

It is a super-2 number, since 2×332946986112² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21872328 + ... + 21887544.

It is an arithmetic number, because the mean of its divisors is an integer number (4142529825).

Almost surely, 2^332946986112 is an apocalyptic number.

332946986112 is a gapful number since it is divisible by the number (32) 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 332946986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530243817600).

332946986112 is an abundant number, since it is smaller than the sum of its proper divisors (727540649088).

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

332946986112 is a wasteful number, since it uses less digits than its factorization.

332946986112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15740 (or 15722 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 332946986112 in words is "three hundred thirty-two billion, nine hundred forty-six million, nine hundred eighty-six thousand, one hundred twelve".