332263878912 has 648 divisors, whose sum is σ = 1148857426080. Its totient is φ = 92045721600.

The previous prime is 332263878883. The next prime is 332263878913. The reversal of 332263878912 is 219878362233.

332263878912 is a `hidden beast` number, since 33 + 226 + 387 + 8 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×332263878912² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (332263878913) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 552851412 + ... + 552852012.

Almost surely, 2^332263878912 is an apocalyptic number.

332263878912 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 332263878912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574428713040).

332263878912 is an abundant number, since it is smaller than the sum of its proper divisors (816593547168).

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

332263878912 is a wasteful number, since it uses less digits than its factorization.

332263878912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 755 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 332263878912 in words is "three hundred thirty-two billion, two hundred sixty-three million, eight hundred seventy-eight thousand, nine hundred twelve".