231779394000 has 1600 divisors, whose sum is σ = 1106197627392. Its totient is φ = 45287424000.

The previous prime is 231779393969. The next prime is 231779394029. The reversal of 231779394000 is 493977132.

231779394000 is a `hidden beast` number, since 231 + 7 + 7 + 9 + 3 + 9 + 400 + 0 = 666.

231779394000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 212057454 + ... + 212058546.

Almost surely, 2^231779394000 is an apocalyptic number.

231779394000 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 231779394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553098813696).

231779394000 is an abundant number, since it is smaller than the sum of its proper divisors (874418233392).

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

231779394000 is a wasteful number, since it uses less digits than its factorization.

231779394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 231779394000 in words is "two hundred thirty-one billion, seven hundred seventy-nine million, three hundred ninety-four thousand".