234372125952 has 216 divisors, whose sum is σ = 689499556200. Its totient is φ = 76539101184.

The previous prime is 234372125947. The next prime is 234372125957. The reversal of 234372125952 is 259521273432.

234372125952 is a `hidden beast` number, since 2 + 3 + 4 + 37 + 21 + 2 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (234372125947) and next prime (234372125957).

It can be written as a sum of positive squares in 4 ways, for example, as 58455634176 + 175916491776 = 241776^2 + 419424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 234372125898 and 234372125907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234372125957) 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, 157401624 + ... + 157403112.

It is an arithmetic number, because the mean of its divisors is an integer number (3192127575).

Almost surely, 2^234372125952 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 234372125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344749778100).

234372125952 is an abundant number, since it is smaller than the sum of its proper divisors (455127430248).

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

234372125952 is a wasteful number, since it uses less digits than its factorization.

234372125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2836 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 234372125952 in words is "two hundred thirty-four billion, three hundred seventy-two million, one hundred twenty-five thousand, nine hundred fifty-two".