332297945856000 has 1920 divisors, whose sum is σ = 1288204549632000. Its totient is φ = 85114478592000.

The previous prime is 332297945855963. The next prime is 332297945856001. The reversal of 332297945856000 is 658549792233.

332297945856000 is a `hidden beast` number, since 3 + 3 + 2 + 29 + 7 + 9 + 45 + 8 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×332297945856000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332297945856001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89351422141 + ... + 89351425859.

It is an arithmetic number, because the mean of its divisors is an integer number (670939869600).

Almost surely, 2^{332297945856000} is an apocalyptic number.

332297945856000 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 332297945856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644102274816000).

332297945856000 is an abundant number, since it is smaller than the sum of its proper divisors (955906603776000).

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

332297945856000 is a wasteful number, since it uses less digits than its factorization.

332297945856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 332297945856000 in words is "three hundred thirty-two trillion, two hundred ninety-seven billion, nine hundred forty-five million, eight hundred fifty-six thousand".