230313801517272 has 256 divisors, whose sum is σ = 712320122880000. Its totient is φ = 68366022641280.

The previous prime is 230313801517259. The next prime is 230313801517309. The reversal of 230313801517272 is 272715108313032.

230313801517272 is a `hidden beast` number, since 2 + 3 + 0 + 31 + 3 + 80 + 1 + 517 + 27 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19007679 + ... + 28669137.

It is an arithmetic number, because the mean of its divisors is an integer number (2782500480000).

Almost surely, 2^{230313801517272} is an apocalyptic number.

230313801517272 is a gapful number since it is divisible by the number (22) 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 230313801517272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356160061440000).

230313801517272 is an abundant number, since it is smaller than the sum of its proper divisors (482006321362728).

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

230313801517272 is a wasteful number, since it uses less digits than its factorization.

230313801517272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9661691 (or 9661681 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 230313801517272 in words is "two hundred thirty trillion, three hundred thirteen billion, eight hundred one million, five hundred seventeen thousand, two hundred seventy-two".