231513454334400 has 336 divisors, whose sum is σ = 868891283946240. Its totient is φ = 52867003392000.

The previous prime is 231513454334353. The next prime is 231513454334411. The reversal of 231513454334400 is 4433454315132.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 32035636 + ... + 38591564.

Almost surely, 2^{231513454334400} is an apocalyptic number.

231513454334400 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 231513454334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434445641973120).

231513454334400 is an abundant number, since it is smaller than the sum of its proper divisors (637377829611840).

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

231513454334400 is a wasteful number, since it uses less digits than its factorization.

231513454334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557012 (or 6556997 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 231513454334400 in words is "two hundred thirty-one trillion, five hundred thirteen billion, four hundred fifty-four million, three hundred thirty-four thousand, four hundred".