332461596960 has 288 divisors, whose sum is σ = 1198751037120. Its totient is φ = 86983123968.

The previous prime is 332461596949. The next prime is 332461596977. The reversal of 332461596960 is 69695164233.

332461596960 is a `hidden beast` number, since 3 + 3 + 2 + 46 + 1 + 596 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×332461596960³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 332461596897 and 332461596906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1979971 + ... + 2141309.

It is an arithmetic number, because the mean of its divisors is an integer number (4162329990).

Almost surely, 2^332461596960 is an apocalyptic number.

332461596960 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 332461596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599375518560).

332461596960 is an abundant number, since it is smaller than the sum of its proper divisors (866289440160).

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

332461596960 is a wasteful number, since it uses less digits than its factorization.

332461596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161422 (or 161402 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 332461596960 in words is "three hundred thirty-two billion, four hundred sixty-one million, five hundred ninety-six thousand, nine hundred sixty".