234253459944 has 504 divisors, whose sum is σ = 792489279330. Its totient is φ = 64694609280.

The previous prime is 234253459907. The next prime is 234253459961. The reversal of 234253459944 is 449954352432.

It is a happy number.

234253459944 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 5 + 3 + 4 + 599 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 230820671844 + 3432788100 = 480438^2 + 58590^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 274622622 + ... + 274623474.

Almost surely, 2^234253459944 is an apocalyptic number.

234253459944 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 234253459944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396244639665).

234253459944 is an abundant number, since it is smaller than the sum of its proper divisors (558235819386).

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

234253459944 is an equidigital number, since it uses as much as digits as its factorization.

234253459944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 896 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 234253459944 in words is "two hundred thirty-four billion, two hundred fifty-three million, four hundred fifty-nine thousand, nine hundred forty-four".