332241345000 has 200 divisors, whose sum is σ = 1162858430250. Its totient is φ = 88597584000.

The previous prime is 332241344969. The next prime is 332241345091. The reversal of 332241345000 is 543142233.

332241345000 is a `hidden beast` number, since 3 + 3 + 2 + 24 + 134 + 500 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 29746116 + 332211598884 = 5454^2 + 576378^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×332241345000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 5175 + ... + 815174.

Almost surely, 2^332241345000 is an apocalyptic number.

332241345000 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 332241345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581429215125).

332241345000 is an abundant number, since it is smaller than the sum of its proper divisors (830617085250).

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

332241345000 is an equidigital number, since it uses as much as digits as its factorization.

332241345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820387 (or 820359 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 332241345000 its reverse (543142233), we get a palindrome (332784487233).

The spelling of 332241345000 in words is "three hundred thirty-two billion, two hundred forty-one million, three hundred forty-five thousand".