22795449600 has 864 divisors, whose sum is σ = 99419636736. Its totient is φ = 4453171200.

The previous prime is 22795449571. The next prime is 22795449601. The reversal of 22795449600 is 694459722.

It is a super-2 number, since 2×22795449600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22795449600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22795449601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25132347 + ... + 25133253.

It is an arithmetic number, because the mean of its divisors is an integer number (115069024).

Almost surely, 2^22795449600 is an apocalyptic number.

22795449600 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 22795449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49709818368).

22795449600 is an abundant number, since it is smaller than the sum of its proper divisors (76624187136).

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

22795449600 is a wasteful number, since it uses less digits than its factorization.

22795449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 22795449600 in words is "twenty-two billion, seven hundred ninety-five million, four hundred forty-nine thousand, six hundred".