231468580800 has 672 divisors, whose sum is σ = 884048625600. Its totient is φ = 59570380800.

The previous prime is 231468580769. The next prime is 231468580801. The reversal of 231468580800 is 8085864132.

231468580800 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 68 + 580 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×231468580800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231468580801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101475660 + ... + 101477940.

It is an arithmetic number, because the mean of its divisors is an integer number (1315548550).

Almost surely, 2^231468580800 is an apocalyptic number.

231468580800 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 231468580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442024312800).

231468580800 is an abundant number, since it is smaller than the sum of its proper divisors (652580044800).

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

231468580800 is an equidigital number, since it uses as much as digits as its factorization.

231468580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 231468580800 in words is "two hundred thirty-one billion, four hundred sixty-eight million, five hundred eighty thousand, eight hundred".