22494938400 has 864 divisors, whose sum is σ = 92394836352. Its totient is φ = 5095833600.

The previous prime is 22494938381. The next prime is 22494938443. The reversal of 22494938400 is 483949422.

It is a happy number.

22494938400 is a `hidden beast` number, since 224 + 9 + 49 + 384 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96544684 + ... + 96544916.

It is an arithmetic number, because the mean of its divisors is an integer number (106938468).

Almost surely, 2^22494938400 is an apocalyptic number.

22494938400 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 22494938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46197418176).

22494938400 is an abundant number, since it is smaller than the sum of its proper divisors (69899897952).

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

22494938400 is a wasteful number, since it uses less digits than its factorization.

22494938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 22494938400 in words is "twenty-two billion, four hundred ninety-four million, nine hundred thirty-eight thousand, four hundred".