234084943764 has 192 divisors, whose sum is σ = 700677734400. Its totient is φ = 66200996736.

The previous prime is 234084943753. The next prime is 234084943801. The reversal of 234084943764 is 467349480432.

234084943764 is a `hidden beast` number, since 23 + 40 + 8 + 494 + 37 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 234084943764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30173374 + ... + 30181130.

It is an arithmetic number, because the mean of its divisors is an integer number (3649363200).

Almost surely, 2^234084943764 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 234084943764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350338867200).

234084943764 is an abundant number, since it is smaller than the sum of its proper divisors (466592790636).

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

234084943764 is a wasteful number, since it uses less digits than its factorization.

234084943764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8179 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 234084943764 in words is "two hundred thirty-four billion, eighty-four million, nine hundred forty-three thousand, seven hundred sixty-four".