234137216640 has 256 divisors, whose sum is σ = 771233587200. Its totient is φ = 60356136960.

The previous prime is 234137216639. The next prime is 234137216669. The reversal of 234137216640 is 46612731432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77553051 + ... + 77556069.

It is an arithmetic number, because the mean of its divisors is an integer number (3012631200).

Almost surely, 2^234137216640 is an apocalyptic number.

234137216640 is a gapful number since it is divisible by the number (20) 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 234137216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385616793600).

234137216640 is an abundant number, since it is smaller than the sum of its proper divisors (537096370560).

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

234137216640 is a wasteful number, since it uses less digits than its factorization.

234137216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 234137216640 in words is "two hundred thirty-four billion, one hundred thirty-seven million, two hundred sixteen thousand, six hundred forty".