22260446064 has 240 divisors, whose sum is σ = 65432240640. Its totient is φ = 7058887680.

The previous prime is 22260446059. The next prime is 22260446071. The reversal of 22260446064 is 46064406222.

22260446064 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 0 + 44 + 606 + 4 = 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42726124 + ... + 42726644.

It is an arithmetic number, because the mean of its divisors is an integer number (272634336).

Almost surely, 2^22260446064 is an apocalyptic number.

22260446064 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 22260446064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32716120320).

22260446064 is an abundant number, since it is smaller than the sum of its proper divisors (43171794576).

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

22260446064 is a wasteful number, since it uses less digits than its factorization.

22260446064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 22260446064 in words is "twenty-two billion, two hundred sixty million, four hundred forty-six thousand, sixty-four".