234414434664 has 96 divisors (see below), whose sum is σ = 672595410240. Its totient is φ = 73500480000.

The previous prime is 234414434627. The next prime is 234414434671. The reversal of 234414434664 is 466434414432.

234414434664 is a `hidden beast` number, since 2 + 3 + 44 + 144 + 3 + 466 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 2163789 + ... + 2269539.

It is an arithmetic number, because the mean of its divisors is an integer number (7006202190).

Almost surely, 2^234414434664 is an apocalyptic number.

234414434664 is a gapful number since it is divisible by the number (24) 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 234414434664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336297705120).

234414434664 is an abundant number, since it is smaller than the sum of its proper divisors (438180975576).

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

234414434664 is a wasteful number, since it uses less digits than its factorization.

234414434664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107591 (or 107584 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 45.

The spelling of 234414434664 in words is "two hundred thirty-four billion, four hundred fourteen million, four hundred thirty-four thousand, six hundred sixty-four".