23513466431532 has 1152 divisors, whose sum is σ = 74210960194560. Its totient is φ = 5724794880000.

The previous prime is 23513466431509. The next prime is 23513466431569.

23513466431532 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 171631141768 + ... + 171631141904.

It is an arithmetic number, because the mean of its divisors is an integer number (64419236280).

Almost surely, 2^{23513466431532} is an apocalyptic number.

23513466431532 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 23513466431532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37105480097280).

23513466431532 is an abundant number, since it is smaller than the sum of its proper divisors (50697493763028).

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

23513466431532 is a wasteful number, since it uses less digits than its factorization.

23513466431532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

It can be divided in two parts, 2351346 and 6431532, that added together give a palindrome (8782878).

The spelling of 23513466431532 in words is "twenty-three trillion, five hundred thirteen billion, four hundred sixty-six million, four hundred thirty-one thousand, five hundred thirty-two".