231414351711400 has 576 divisors, whose sum is σ = 678346669753200. Its totient is φ = 73107991756800.

The previous prime is 231414351711391. The next prime is 231414351711427. The reversal of 231414351711400 is 4117153414132.

It can be written as a sum of positive squares in 24 ways, for example, as 217706896951236 + 13707454760164 = 14754894^2 + 3702358^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 231414351711400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 903717784 + ... + 903973816.

Almost surely, 2^{231414351711400} is an apocalyptic number.

231414351711400 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 231414351711400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339173334876600).

231414351711400 is an abundant number, since it is smaller than the sum of its proper divisors (446932318041800).

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

231414351711400 is a wasteful number, since it uses less digits than its factorization.

231414351711400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256127 (or 256081 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 231414351711400 in words is "two hundred thirty-one trillion, four hundred fourteen billion, three hundred fifty-one million, seven hundred eleven thousand, four hundred".