22887421446400 has 243 divisors, whose sum is σ = 65906629421241. Its totient is φ = 7846197381120.

The previous prime is 22887421446389. The next prime is 22887421446511. The reversal of 22887421446400 is 464412478822.

The square root of 22887421446400 is 4784080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8239471720704 + 14647949725696 = 2870448^2 + 3827264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2679080529 + ... + 2679089071.

Almost surely, 2^{22887421446400} is an apocalyptic number.

22887421446400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22887421446400 is the 4784080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22887421446400

22887421446400 is an abundant number, since it is smaller than the sum of its proper divisors (43019207974841).

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

22887421446400 is an frugal number, since it uses more digits than its factorization.

22887421446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17126 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 52.

The spelling of 22887421446400 in words is "twenty-two trillion, eight hundred eighty-seven billion, four hundred twenty-one million, four hundred forty-six thousand, four hundred".