22144002048 has 384 divisors, whose sum is σ = 78938496000. Its totient is φ = 5991874560.

The previous prime is 22144002037. The next prime is 22144002053. The reversal of 22144002048 is 84020044122.

22144002048 is a `hidden beast` number, since 2 + 214 + 400 + 2 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 7352863 + ... + 7355873.

It is an arithmetic number, because the mean of its divisors is an integer number (205569000).

Almost surely, 2^22144002048 is an apocalyptic number.

22144002048 is a gapful number since it is divisible by the number (28) 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 22144002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39469248000).

22144002048 is an abundant number, since it is smaller than the sum of its proper divisors (56794493952).

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

22144002048 is a wasteful number, since it uses less digits than its factorization.

22144002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 22144002048 in words is "twenty-two billion, one hundred forty-four million, two thousand, forty-eight".