22645769400 has 960 divisors, whose sum is σ = 89123760000. Its totient is φ = 5303854080.

The previous prime is 22645769389. The next prime is 22645769401. The reversal of 22645769400 is 496754622.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22645769401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 383826571 + ... + 383826629.

It is an arithmetic number, because the mean of its divisors is an integer number (92837250).

Almost surely, 2^22645769400 is an apocalyptic number.

22645769400 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 22645769400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44561880000).

22645769400 is an abundant number, since it is smaller than the sum of its proper divisors (66477990600).

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

22645769400 is a wasteful number, since it uses less digits than its factorization.

22645769400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 22645769400 in words is "twenty-two billion, six hundred forty-five million, seven hundred sixty-nine thousand, four hundred".