22532235264 has 784 divisors, whose sum is σ = 85951771200. Its totient is φ = 5852528640.

The previous prime is 22532235263. The next prime is 22532235277. The reversal of 22532235264 is 46253223522.

22532235264 is a `hidden beast` number, since 225 + 3 + 22 + 352 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

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 (22532235263) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2048385019 + ... + 2048385029.

Almost surely, 2^22532235264 is an apocalyptic number.

22532235264 is a gapful number since it is divisible by the number (24) 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 22532235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42975885600).

22532235264 is an abundant number, since it is smaller than the sum of its proper divisors (63419535936).

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

22532235264 is an frugal number, since it uses more digits than its factorization.

22532235264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 22532235264 its reverse (46253223522), we get a palindrome (68785458786).

The spelling of 22532235264 in words is "twenty-two billion, five hundred thirty-two million, two hundred thirty-five thousand, two hundred sixty-four".