334561385232 has 480 divisors, whose sum is σ = 1035773706240. Its totient is φ = 104326548480.

The previous prime is 334561385203. The next prime is 334561385287. The reversal of 334561385232 is 232583165433.

334561385232 is a `hidden beast` number, since 3 + 3 + 4 + 5 + 613 + 8 + 5 + 23 + 2 = 666.

It is a super-2 number, since 2×334561385232² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1010759307 + ... + 1010759637.

It is an arithmetic number, because the mean of its divisors is an integer number (2157861888).

Almost surely, 2^334561385232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334561385232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517886853120).

334561385232 is an abundant number, since it is smaller than the sum of its proper divisors (701212321008).

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

334561385232 is a wasteful number, since it uses less digits than its factorization.

334561385232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 575 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 334561385232 in words is "three hundred thirty-four billion, five hundred sixty-one million, three hundred eighty-five thousand, two hundred thirty-two".