22573346400 has 432 divisors, whose sum is σ = 87170389488. Its totient is φ = 5451264000.

The previous prime is 22573346387. The next prime is 22573346417. The reversal of 22573346400 is 464337522.

22573346400 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 3 + 3 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 33342862 + ... + 33343538.

It is an arithmetic number, because the mean of its divisors is an integer number (201783309).

Almost surely, 2^22573346400 is an apocalyptic number.

22573346400 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 22573346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43585194744).

22573346400 is an abundant number, since it is smaller than the sum of its proper divisors (64597043088).

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

22573346400 is a wasteful number, since it uses less digits than its factorization.

22573346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 22573346400 in words is "twenty-two billion, five hundred seventy-three million, three hundred forty-six thousand, four hundred".