23216633440 has 384 divisors, whose sum is σ = 77984944128. Its totient is φ = 6286049280.

The previous prime is 23216633417. The next prime is 23216633441. The reversal of 23216633440 is 4433661232.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 23216633396 and 23216633405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23216633441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2718457 + ... + 2726983.

It is an arithmetic number, because the mean of its divisors is an integer number (203085792).

Almost surely, 2^23216633440 is an apocalyptic number.

23216633440 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 23216633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38992472064).

23216633440 is an abundant number, since it is smaller than the sum of its proper divisors (54768310688).

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

23216633440 is a wasteful number, since it uses less digits than its factorization.

23216633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

It can be divided in two parts, 23216 and 633440, that added together give a palindrome (656656).

The spelling of 23216633440 in words is "twenty-three billion, two hundred sixteen million, six hundred thirty-three thousand, four hundred forty".