231564465132 has 288 divisors, whose sum is σ = 765666768384. Its totient is φ = 52596864000.

The previous prime is 231564465131. The next prime is 231564465161.

231564465132 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (231564465131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4309632 + ... + 4363032.

It is an arithmetic number, because the mean of its divisors is an integer number (2658565168).

Almost surely, 2^231564465132 is an apocalyptic number.

231564465132 is a gapful number since it is divisible by the number (22) 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 231564465132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382833384192).

231564465132 is an abundant number, since it is smaller than the sum of its proper divisors (534102303252).

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

231564465132 is a wasteful number, since it uses less digits than its factorization.

231564465132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53477 (or 53456 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 231564 and 465132, that added together give a palindrome (696696).

The spelling of 231564465132 in words is "two hundred thirty-one billion, five hundred sixty-four million, four hundred sixty-five thousand, one hundred thirty-two".