231435534132 has 288 divisors, whose sum is σ = 677519466624. Its totient is φ = 65971584000.

The previous prime is 231435534103. The next prime is 231435534137.

231435534132 is a `hidden beast` number, since 2 + 31 + 4 + 3 + 553 + 41 + 32 = 666.

231435534132 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231435534137) 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, 63631818 + ... + 63635454.

It is an arithmetic number, because the mean of its divisors is an integer number (2352498148).

Almost surely, 2^231435534132 is an apocalyptic number.

231435534132 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 231435534132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338759733312).

231435534132 is an abundant number, since it is smaller than the sum of its proper divisors (446083932492).

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

231435534132 is a wasteful number, since it uses less digits than its factorization.

231435534132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3834 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 231435 and 534132, that added together give a palindrome (765567).

The spelling of 231435534132 in words is "two hundred thirty-one billion, four hundred thirty-five million, five hundred thirty-four thousand, one hundred thirty-two".