334412612352 has 864 divisors, whose sum is σ = 1260898795520. Its totient is φ = 82771476480.

The previous prime is 334412612327. The next prime is 334412612389. The reversal of 334412612352 is 253216214433.

334412612352 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 1 + 2 + 612 + 35 + 2 = 666.

It is a super-2 number, since 2×334412612352² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505918902 + ... + 505919562.

Almost surely, 2^334412612352 is an apocalyptic number.

334412612352 is a gapful number since it is divisible by the number (32) 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 334412612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630449397760).

334412612352 is an abundant number, since it is smaller than the sum of its proper divisors (926486183168).

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

334412612352 is a wasteful number, since it uses less digits than its factorization.

334412612352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 832 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 334412612352 its reverse (253216214433), we get a palindrome (587628826785).

The spelling of 334412612352 in words is "three hundred thirty-four billion, four hundred twelve million, six hundred twelve thousand, three hundred fifty-two".