334306086048 has 144 divisors (see below), whose sum is σ = 1047378058272. Its totient is φ = 100301760000.

The previous prime is 334306086019. The next prime is 334306086109. The reversal of 334306086048 is 840680603433.

334306086048 is a `hidden beast` number, since 3 + 3 + 4 + 30 + 6 + 0 + 8 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×334306086048² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334306085994 and 334306086012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202438 + ... + 842373.

It is an arithmetic number, because the mean of its divisors is an integer number (7273458738).

Almost surely, 2^334306086048 is an apocalyptic number.

It is an amenable number.

334306086048 is an abundant number, since it is smaller than the sum of its proper divisors (713071972224).

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

334306086048 is a wasteful number, since it uses less digits than its factorization.

334306086048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044939 (or 1044928 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 334306086048 in words is "three hundred thirty-four billion, three hundred six million, eighty-six thousand, forty-eight".