234844913664 has 153 divisors (see below), whose sum is σ = 679512564939. Its totient is φ = 78157578240.

The previous prime is 234844913629. The next prime is 234844913669. The reversal of 234844913664 is 466319448432.

The square root of 234844913664 is 484608.

It is a perfect power (a square), and thus also a powerful number.

234844913664 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 449 + 136 + 64 = 666.

It is a super-2 number, since 2×234844913664² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 234844913664.

It is not an unprimeable number, because it can be changed into a prime (234844913669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 372178629 + ... + 372179259.

Almost surely, 2^234844913664 is an apocalyptic number.

234844913664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

234844913664 is the 484608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234844913664

234844913664 is an abundant number, since it is smaller than the sum of its proper divisors (444667651275).

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

234844913664 is an frugal number, since it uses more digits than its factorization.

234844913664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 636 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 234844913664 in words is "two hundred thirty-four billion, eight hundred forty-four million, nine hundred thirteen thousand, six hundred sixty-four".