231869005401600 has 4800 divisors, whose sum is σ = 1045457354304000. Its totient is φ = 50690701393920.

The previous prime is 231869005401577. The next prime is 231869005401653. The reversal of 231869005401600 is 6104500968132.

231869005401600 is a `hidden beast` number, since 2 + 3 + 1 + 8 + 6 + 90 + 0 + 540 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 902214028672 + ... + 902214028928.

It is an arithmetic number, because the mean of its divisors is an integer number (217803615480).

Almost surely, 2^{231869005401600} is an apocalyptic number.

231869005401600 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 231869005401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522728677152000).

231869005401600 is an abundant number, since it is smaller than the sum of its proper divisors (813588348902400).

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

231869005401600 is an equidigital number, since it uses as much as digits as its factorization.

231869005401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 231869005401600 in words is "two hundred thirty-one trillion, eight hundred sixty-nine billion, five million, four hundred one thousand, six hundred".