22869411264 has 448 divisors, whose sum is σ = 80525721600. Its totient is φ = 6227020800.

The previous prime is 22869411157. The next prime is 22869411269. The reversal of 22869411264 is 46211496822.

It is a happy number.

22869411264 is a `hidden beast` number, since 228 + 6 + 9 + 411 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22869411269) 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, 26622867 + ... + 26623725.

Almost surely, 2^22869411264 is an apocalyptic number.

22869411264 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 22869411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40262860800).

22869411264 is an abundant number, since it is smaller than the sum of its proper divisors (57656310336).

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

22869411264 is a wasteful number, since it uses less digits than its factorization.

22869411264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 973 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 22869411264 in words is "twenty-two billion, eight hundred sixty-nine million, four hundred eleven thousand, two hundred sixty-four".