230464484464032 has 768 divisors, whose sum is σ = 844765749918720. Its totient is φ = 59511425531904.

The previous prime is 230464484464021. The next prime is 230464484464057.

230464484464032 is a `hidden beast` number, since 2 + 30 + 4 + 6 + 44 + 84 + 464 + 0 + 32 = 666.

230464484464032 is nontrivially palindromic in base 10.

230464484464032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×230464484464032² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230464484464032.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 786172078 + ... + 786465170.

It is an arithmetic number, because the mean of its divisors is an integer number (1099955403540).

Almost surely, 2^{230464484464032} 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 230464484464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422382874959360).

230464484464032 is an abundant number, since it is smaller than the sum of its proper divisors (614301265454688).

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

230464484464032 is a wasteful number, since it uses less digits than its factorization.

230464484464032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293342 (or 293328 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 54.

The spelling of 230464484464032 in words is "two hundred thirty trillion, four hundred sixty-four billion, four hundred eighty-four million, four hundred sixty-four thousand, thirty-two".