334801466900 has 36 divisors (see below), whose sum is σ = 726551239932. Its totient is φ = 133914677760.

The previous prime is 334801466869. The next prime is 334801466953. The reversal of 334801466900 is 9664108433.

It can be written as a sum of positive squares in 6 ways, for example, as 61228533136 + 273572933764 = 247444^2 + 523042^2 .

It is a super-2 number, since 2×334801466900² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2735414 + ... + 2855186.

It is an arithmetic number, because the mean of its divisors is an integer number (20181978887).

Almost surely, 2^334801466900 is an apocalyptic number.

It is an amenable number.

334801466900 is an abundant number, since it is smaller than the sum of its proper divisors (391749773032).

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

334801466900 is a wasteful number, since it uses less digits than its factorization.

334801466900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147740 (or 147733 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 334801466900 in words is "three hundred thirty-four billion, eight hundred one million, four hundred sixty-six thousand, nine hundred".