22868354400 has 288 divisors, whose sum is σ = 78576220800. Its totient is φ = 5760921600.

The previous prime is 22868354359. The next prime is 22868354447. The reversal of 22868354400 is 445386822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30050020 + ... + 30050780.

It is an arithmetic number, because the mean of its divisors is an integer number (272834100).

Almost surely, 2^22868354400 is an apocalyptic number.

22868354400 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 22868354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39288110400).

22868354400 is an abundant number, since it is smaller than the sum of its proper divisors (55707866400).

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

22868354400 is a wasteful number, since it uses less digits than its factorization.

22868354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 22868354400 in words is "twenty-two billion, eight hundred sixty-eight million, three hundred fifty-four thousand, four hundred".