332779974912 has 1440 divisors, whose sum is σ = 1310049506304. Its totient is φ = 81517363200.

The previous prime is 332779974851. The next prime is 332779974973. The reversal of 332779974912 is 219479977233.

332779974912 is a `hidden beast` number, since 33 + 27 + 7 + 9 + 97 + 491 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (332779974851) and next prime (332779974973).

It is a super-2 number, since 2×332779974912² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 332779974912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2540305087 + ... + 2540305217.

Almost surely, 2^332779974912 is an apocalyptic number.

332779974912 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 332779974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655024753152).

332779974912 is an abundant number, since it is smaller than the sum of its proper divisors (977269531392).

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

332779974912 is a wasteful number, since it uses less digits than its factorization.

332779974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its digits is 36006768, while the sum is 63.

The spelling of 332779974912 in words is "three hundred thirty-two billion, seven hundred seventy-nine million, nine hundred seventy-four thousand, nine hundred twelve".