230290293888 has 320 divisors, whose sum is σ = 700057987200. Its totient is φ = 75132997632.

The previous prime is 230290293881. The next prime is 230290293899. The reversal of 230290293888 is 888392092032.

230290293888 is a `hidden beast` number, since 230 + 2 + 9 + 0 + 29 + 388 + 8 = 666.

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 (230290293881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95042245 + ... + 95044667.

It is an arithmetic number, because the mean of its divisors is an integer number (2187681210).

Almost surely, 2^230290293888 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 230290293888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350028993600).

230290293888 is an abundant number, since it is smaller than the sum of its proper divisors (469767693312).

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

230290293888 is a wasteful number, since it uses less digits than its factorization.

230290293888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 230290293888 in words is "two hundred thirty billion, two hundred ninety million, two hundred ninety-three thousand, eight hundred eighty-eight".