22554205321728 has 320 divisors, whose sum is σ = 62027961063552. Its totient is φ = 7279324692480.

The previous prime is 22554205321721. The next prime is 22554205321841. The reversal of 22554205321728 is 82712350245522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (22554205321721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3850808976 + ... + 3850814832.

Almost surely, 2^{22554205321728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22554205321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31013980531776).

22554205321728 is an abundant number, since it is smaller than the sum of its proper divisors (39473755741824).

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

22554205321728 is an equidigital number, since it uses as much as digits as its factorization.

22554205321728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6575 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 22554205321728 in words is "twenty-two trillion, five hundred fifty-four billion, two hundred five million, three hundred twenty-one thousand, seven hundred twenty-eight".