22867448400 has 360 divisors, whose sum is σ = 81350418240. Its totient is φ = 5946716160.

The previous prime is 22867448377. The next prime is 22867448411. The reversal of 22867448400 is 484476822.

22867448400 is a `hidden beast` number, since 22 + 86 + 74 + 484 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27255181 + ... + 27256019.

It is an arithmetic number, because the mean of its divisors is an integer number (225973384).

Almost surely, 2^22867448400 is an apocalyptic number.

22867448400 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 22867448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40675209120).

22867448400 is an abundant number, since it is smaller than the sum of its proper divisors (58482969840).

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

22867448400 is a wasteful number, since it uses less digits than its factorization.

22867448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 22867448400 in words is "twenty-two billion, eight hundred sixty-seven million, four hundred forty-eight thousand, four hundred".