230524388640 has 1152 divisors, whose sum is σ = 1064200032000. Its totient is φ = 46067761152.

The previous prime is 230524388623. The next prime is 230524388657. The reversal of 230524388640 is 46883425032.

230524388640 is a `hidden beast` number, since 2 + 3 + 0 + 524 + 3 + 8 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (230524388623) and next prime (230524388657).

It is a super-2 number, since 2×230524388640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52282756 + ... + 52287164.

It is an arithmetic number, because the mean of its divisors is an integer number (923784750).

Almost surely, 2^230524388640 is an apocalyptic number.

230524388640 is a gapful number since it is divisible by the number (20) 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 230524388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532100016000).

230524388640 is an abundant number, since it is smaller than the sum of its proper divisors (833675643360).

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

230524388640 is a wasteful number, since it uses less digits than its factorization.

230524388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 230524388640 in words is "two hundred thirty billion, five hundred twenty-four million, three hundred eighty-eight thousand, six hundred forty".