264331604242332 has 144 divisors (see below), whose sum is σ = 754096061628000. Its totient is φ = 77333615009280.

The previous prime is 264331604242289. The next prime is 264331604242367. The reversal of 264331604242332 is 233242406133462.

264331604242332 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 3 + 1 + 604 + 2 + 4 + 2 + 3 + 32 = 666.

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, 187047978 + ... + 188455854.

It is an arithmetic number, because the mean of its divisors is an integer number (5236778205750).

Almost surely, 2^{264331604242332} is an apocalyptic number.

264331604242332 is a gapful number since it is divisible by the number (22) 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 264331604242332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377048030814000).

264331604242332 is an abundant number, since it is smaller than the sum of its proper divisors (489764457385668).

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

264331604242332 is a wasteful number, since it uses less digits than its factorization.

264331604242332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424276 (or 1424271 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 45.

The spelling of 264331604242332 in words is "two hundred sixty-four trillion, three hundred thirty-one billion, six hundred four million, two hundred forty-two thousand, three hundred thirty-two".