234129490944 has 264 divisors, whose sum is σ = 654487539264. Its totient is φ = 74395238400.

The previous prime is 234129490943. The next prime is 234129491009. The reversal of 234129490944 is 449094921432.

It is a super-2 number, since 2×234129490944² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234129490943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209605074 + ... + 209606190.

Almost surely, 2^234129490944 is an apocalyptic number.

234129490944 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 234129490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327243769632).

234129490944 is an abundant number, since it is smaller than the sum of its proper divisors (420358048320).

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

234129490944 is a wasteful number, since it uses less digits than its factorization.

234129490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 234129490944 in words is "two hundred thirty-four billion, one hundred twenty-nine million, four hundred ninety thousand, nine hundred forty-four".