22278188449440 has 768 divisors, whose sum is σ = 97422759383040. Its totient is φ = 4619289047040.

The previous prime is 22278188449411. The next prime is 22278188449453. The reversal of 22278188449440 is 4494488187222.

22278188449440 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 8 + 188 + 4 + 4 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 155271174 + ... + 155414586.

It is an arithmetic number, because the mean of its divisors is an integer number (126852551280).

Almost surely, 2^{22278188449440} is an apocalyptic number.

22278188449440 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 22278188449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48711379691520).

22278188449440 is an abundant number, since it is smaller than the sum of its proper divisors (75144570933600).

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

22278188449440 is a wasteful number, since it uses less digits than its factorization.

22278188449440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143922 (or 143908 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 22278188449440 in words is "twenty-two trillion, two hundred seventy-eight billion, one hundred eighty-eight million, four hundred forty-nine thousand, four hundred forty".