230359502829456 has 6400 divisors, whose sum is σ = 1023629331529728. Its totient is φ = 48046871347200.

The previous prime is 230359502829451. The next prime is 230359502829481. The reversal of 230359502829456 is 654928205953032.

It is a happy number.

230359502829456 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 5 + 9 + 502 + 82 + 9 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 230359502829393 and 230359502829402.

It is not an unprimeable number, because it can be changed into a prime (230359502829451) 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 1279 ways as a sum of consecutive naturals, for example, 2152892549755 + ... + 2152892549861.

Almost surely, 2^{230359502829456} is an apocalyptic number.

230359502829456 is a gapful number since it is divisible by the number (26) 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 230359502829456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511814665764864).

230359502829456 is an abundant number, since it is smaller than the sum of its proper divisors (793269828700272).

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

230359502829456 is a wasteful number, since it uses less digits than its factorization.

230359502829456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 230359502829456 in words is "two hundred thirty trillion, three hundred fifty-nine billion, five hundred two million, eight hundred twenty-nine thousand, four hundred fifty-six".