230221464462000 has 2240 divisors, whose sum is σ = 966170459704320. Its totient is φ = 52413723648000.

The previous prime is 230221464461977. The next prime is 230221464462061. The reversal of 230221464462000 is 264464122032.

230221464462000 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 2 + 1 + 4 + 6 + 446 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 234202913509 + ... + 234202914491.

Almost surely, 2^{230221464462000} is an apocalyptic number.

230221464462000 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 230221464462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483085229852160).

230221464462000 is an abundant number, since it is smaller than the sum of its proper divisors (735948995242320).

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

230221464462000 is a wasteful number, since it uses less digits than its factorization.

230221464462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 230221464462000 in words is "two hundred thirty trillion, two hundred twenty-one billion, four hundred sixty-four million, four hundred sixty-two thousand".