230864550840 has 768 divisors, whose sum is σ = 990888837120. Its totient is φ = 46944023040.

The previous prime is 230864550821. The next prime is 230864550853. The reversal of 230864550840 is 48055468032.

230864550840 is a `hidden beast` number, since 2 + 30 + 8 + 64 + 550 + 8 + 4 + 0 = 666.

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

It is a congruent number.

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, 35173399 + ... + 35179961.

It is an arithmetic number, because the mean of its divisors is an integer number (1290219840).

Almost surely, 2^230864550840 is an apocalyptic number.

230864550840 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 230864550840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495444418560).

230864550840 is an abundant number, since it is smaller than the sum of its proper divisors (760024286280).

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

230864550840 is a wasteful number, since it uses less digits than its factorization.

230864550840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 230864550840 in words is "two hundred thirty billion, eight hundred sixty-four million, five hundred fifty thousand, eight hundred forty".