230963527872 has 448 divisors, whose sum is σ = 848407142400. Its totient is φ = 59857781760.

The previous prime is 230963527871. The next prime is 230963527877. The reversal of 230963527872 is 278725369032.

230963527872 is a `hidden beast` number, since 2 + 30 + 9 + 6 + 3 + 527 + 87 + 2 = 666.

230963527872 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (230963527871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69586629 + ... + 69589947.

Almost surely, 2^230963527872 is an apocalyptic number.

230963527872 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 230963527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424203571200).

230963527872 is an abundant number, since it is smaller than the sum of its proper divisors (617443614528).

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

230963527872 is a wasteful number, since it uses less digits than its factorization.

230963527872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 230963527872 in words is "two hundred thirty billion, nine hundred sixty-three million, five hundred twenty-seven thousand, eight hundred seventy-two".