230625526032 has 240 divisors, whose sum is σ = 738040762368. Its totient is φ = 66545867520.

The previous prime is 230625526003. The next prime is 230625526049.

230625526032 is a `hidden beast` number, since 2 + 3 + 0 + 625 + 5 + 26 + 0 + 3 + 2 = 666.

230625526032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8110143 + ... + 8138529.

Almost surely, 2^230625526032 is an apocalyptic number.

230625526032 is a gapful number since it is divisible by the number (22) 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 230625526032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369020381184).

230625526032 is an abundant number, since it is smaller than the sum of its proper divisors (507415236336).

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

230625526032 is a wasteful number, since it uses less digits than its factorization.

230625526032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28658 (or 28649 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 230625 and 526032, that added together give a palindrome (756657).

The spelling of 230625526032 in words is "two hundred thirty billion, six hundred twenty-five million, five hundred twenty-six thousand, thirty-two".