22228628205744 has 240 divisors, whose sum is σ = 63013342265952. Its totient is φ = 7314583191552.

The previous prime is 22228628205691. The next prime is 22228628205779. The reversal of 22228628205744 is 44750282682222.

22228628205744 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 8 + 62 + 8 + 2 + 0 + 574 + 4 = 666.

It is a super-2 number, since 2×22228628205744² (a number of 27 digits) contains 22 as substring.

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, 1974643764 + ... + 1974655020.

Almost surely, 2^{22228628205744} is an apocalyptic number.

22228628205744 is a gapful number since it is divisible by the number (24) 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 22228628205744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31506671132976).

22228628205744 is an abundant number, since it is smaller than the sum of its proper divisors (40784714060208).

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

22228628205744 is a wasteful number, since it uses less digits than its factorization.

22228628205744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004 (or 11995 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 22228628205744 in words is "twenty-two trillion, two hundred twenty-eight billion, six hundred twenty-eight million, two hundred five thousand, seven hundred forty-four".