231772464000 has 768 divisors, whose sum is σ = 1037788277760. Its totient is φ = 48158208000.

The previous prime is 231772463957. The next prime is 231772464071. The reversal of 231772464000 is 464277132.

231772464000 is a `hidden beast` number, since 2 + 3 + 1 + 7 + 7 + 2 + 4 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11077549 + ... + 11098451.

It is an arithmetic number, because the mean of its divisors is an integer number (1351286820).

Almost surely, 2^231772464000 is an apocalyptic number.

231772464000 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 231772464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518894138880).

231772464000 is an abundant number, since it is smaller than the sum of its proper divisors (806015813760).

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

231772464000 is a wasteful number, since it uses less digits than its factorization.

231772464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20956 (or 20931 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 231772464000 in words is "two hundred thirty-one billion, seven hundred seventy-two million, four hundred sixty-four thousand".