23641322314632 has 256 divisors, whose sum is σ = 67106208153600. Its totient is φ = 6875714976000.

The previous prime is 23641322314607. The next prime is 23641322314669.

23641322314632 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1980170119 + ... + 1980182057.

It is an arithmetic number, because the mean of its divisors is an integer number (262133625600).

Almost surely, 2^{23641322314632} is an apocalyptic number.

23641322314632 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 23641322314632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33553104076800).

23641322314632 is an abundant number, since it is smaller than the sum of its proper divisors (43464885838968).

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

23641322314632 is a wasteful number, since it uses less digits than its factorization.

23641322314632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13968 (or 13964 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 2364132 and 2314632, that added together give a palindrome (4678764).

The spelling of 23641322314632 in words is "twenty-three trillion, six hundred forty-one billion, three hundred twenty-two million, three hundred fourteen thousand, six hundred thirty-two".