230937654528 has 288 divisors, whose sum is σ = 781379665920. Its totient is φ = 65906472960.

The previous prime is 230937654527. The next prime is 230937654551. The reversal of 230937654528 is 825456739032.

230937654528 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 3 + 76 + 545 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230937654527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52591213 + ... + 52595603.

It is an arithmetic number, because the mean of its divisors is an integer number (2713123840).

Almost surely, 2^230937654528 is an apocalyptic number.

230937654528 is a gapful number since it is divisible by the number (28) 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 230937654528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390689832960).

230937654528 is an abundant number, since it is smaller than the sum of its proper divisors (550442011392).

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

230937654528 is a wasteful number, since it uses less digits than its factorization.

230937654528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 230937654528 in words is "two hundred thirty billion, nine hundred thirty-seven million, six hundred fifty-four thousand, five hundred twenty-eight".