234375965171712 has 1344 divisors, whose sum is σ = 871477983532800. Its totient is φ = 61702373376000.

The previous prime is 234375965171627. The next prime is 234375965171723. The reversal of 234375965171712 is 217171569573432.

234375965171712 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 7 + 5 + 96 + 517 + 17 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 234375965171712.

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, 104120818587 + ... + 104120820837.

It is an arithmetic number, because the mean of its divisors is an integer number (648421118700).

Almost surely, 2^{234375965171712} 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 234375965171712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435738991766400).

234375965171712 is an abundant number, since it is smaller than the sum of its proper divisors (637102018361088).

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

234375965171712 is a wasteful number, since it uses less digits than its factorization.

234375965171712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3015 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The spelling of 234375965171712 in words is "two hundred thirty-four trillion, three hundred seventy-five billion, nine hundred sixty-five million, one hundred seventy-one thousand, seven hundred twelve".