332120549376 has 960 divisors, whose sum is σ = 1253499287040. Its totient is φ = 85458862080.

The previous prime is 332120549287. The next prime is 332120549377. The reversal of 332120549376 is 673945021233.

332120549376 is a `hidden beast` number, since 3 + 32 + 1 + 2 + 0 + 549 + 3 + 76 = 666.

It is a super-2 number, since 2×332120549376² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332120549377) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3103930315 + ... + 3103930421.

It is an arithmetic number, because the mean of its divisors is an integer number (1305728424).

Almost surely, 2^332120549376 is an apocalyptic number.

332120549376 is a gapful number since it is divisible by the number (36) 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 332120549376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626749643520).

332120549376 is an abundant number, since it is smaller than the sum of its proper divisors (921378737664).

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

332120549376 is an frugal number, since it uses more digits than its factorization.

332120549376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 332120549376 in words is "three hundred thirty-two billion, one hundred twenty million, five hundred forty-nine thousand, three hundred seventy-six".