332867445120 has 768 divisors, whose sum is σ = 1362698588160. Its totient is φ = 73267200000.

The previous prime is 332867445109. The next prime is 332867445121. The reversal of 332867445120 is 21544768233.

332867445120 is a `hidden beast` number, since 3 + 3 + 2 + 86 + 7 + 445 + 120 = 666.

It is a super-2 number, since 2×332867445120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332867445121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313729390 + ... + 313730450.

It is an arithmetic number, because the mean of its divisors is an integer number (1774347120).

Almost surely, 2^332867445120 is an apocalyptic number.

332867445120 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 332867445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681349294080).

332867445120 is an abundant number, since it is smaller than the sum of its proper divisors (1029831143040).

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

332867445120 is a wasteful number, since it uses less digits than its factorization.

332867445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 332867445120 in words is "three hundred thirty-two billion, eight hundred sixty-seven million, four hundred forty-five thousand, one hundred twenty".