332226584880 has 160 divisors (see below), whose sum is σ = 1040977629120. Its totient is φ = 87643607040.

The previous prime is 332226584873. The next prime is 332226584897. The reversal of 332226584880 is 88485622233.

It is a Cunningham number, because it is equal to 576391²-1.

It is a super-4 number, since 4×332226584880⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 17282154 + ... + 17301366.

It is an arithmetic number, because the mean of its divisors is an integer number (6506110182).

Almost surely, 2^332226584880 is an apocalyptic number.

332226584880 is a gapful number since it is divisible by the number (30) 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 332226584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520488814560).

332226584880 is an abundant number, since it is smaller than the sum of its proper divisors (708751044240).

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

332226584880 is a wasteful number, since it uses less digits than its factorization.

332226584880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19999 (or 19993 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 332226584880 in words is "three hundred thirty-two billion, two hundred twenty-six million, five hundred eighty-four thousand, eight hundred eighty".