332954328960 has 384 divisors, whose sum is σ = 1258947256320. Its totient is φ = 80414208000.

The previous prime is 332954328943. The next prime is 332954328977. The reversal of 332954328960 is 69823459233.

It is a happy number.

332954328960 is a `hidden beast` number, since 3 + 3 + 2 + 9 + 543 + 2 + 8 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (332954328943) and next prime (332954328977).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×332954328960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332954328897 and 332954328906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17160865 + ... + 17180255.

It is an arithmetic number, because the mean of its divisors is an integer number (3278508480).

Almost surely, 2^332954328960 is an apocalyptic number.

332954328960 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 332954328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629473628160).

332954328960 is an abundant number, since it is smaller than the sum of its proper divisors (925992927360).

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

332954328960 is a wasteful number, since it uses less digits than its factorization.

332954328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19698 (or 19683 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 332954328960 in words is "three hundred thirty-two billion, nine hundred fifty-four million, three hundred twenty-eight thousand, nine hundred sixty".