230808262164480 has 5400 divisors, whose sum is σ = 1130201412854976. Its totient is φ = 44270915420160.

The previous prime is 230808262164479. The next prime is 230808262164503. The reversal of 230808262164480 is 84461262808032.

230808262164480 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 0 + 8 + 2 + 621 + 6 + 4 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 17754481704954 + ... + 17754481704966.

Almost surely, 2^{230808262164480} is an apocalyptic number.

230808262164480 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 230808262164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565100706427488).

230808262164480 is an abundant number, since it is smaller than the sum of its proper divisors (899393150690496).

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

230808262164480 is an frugal number, since it uses more digits than its factorization.

230808262164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 230808262164480 in words is "two hundred thirty trillion, eight hundred eight billion, two hundred sixty-two million, one hundred sixty-four thousand, four hundred eighty".