234493031091312 has 480 divisors, whose sum is σ = 792681040166400. Its totient is φ = 66167844599808.

The previous prime is 234493031091289. The next prime is 234493031091377. The reversal of 234493031091312 is 213190130394432.

234493031091312 is a `hidden beast` number, since 2 + 34 + 493 + 0 + 3 + 10 + 91 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5427178413 + ... + 5427221619.

It is an arithmetic number, because the mean of its divisors is an integer number (1651418833680).

Almost surely, 2^{234493031091312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234493031091312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396340520083200).

234493031091312 is an abundant number, since it is smaller than the sum of its proper divisors (558188009075088).

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

234493031091312 is a wasteful number, since it uses less digits than its factorization.

234493031091312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46410 (or 46391 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 234493031091312 in words is "two hundred thirty-four trillion, four hundred ninety-three billion, thirty-one million, ninety-one thousand, three hundred twelve".