342112947264 has 672 divisors, whose sum is σ = 1164770620416. Its totient is φ = 94942679040.

The previous prime is 342112947161. The next prime is 342112947311. The reversal of 342112947264 is 462749211243.

342112947264 is a `hidden beast` number, since 3 + 4 + 2 + 112 + 9 + 472 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 361259239 + ... + 361260185.

Almost surely, 2^342112947264 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 342112947264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582385310208).

342112947264 is an abundant number, since it is smaller than the sum of its proper divisors (822657673152).

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

342112947264 is a wasteful number, since it uses less digits than its factorization.

342112947264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1090 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 342112947264 in words is "three hundred forty-two billion, one hundred twelve million, nine hundred forty-seven thousand, two hundred sixty-four".