22289416740864 has 2016 divisors, whose sum is σ = 84320546558976. Its totient is φ = 5618427494400.

The previous prime is 22289416740863. The next prime is 22289416740889. The reversal of 22289416740864 is 46804761498222.

It is a happy number.

22289416740864 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 9 + 4 + 167 + 408 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22289416740863) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 175507218369 + ... + 175507218495.

It is an arithmetic number, because the mean of its divisors is an integer number (41825667936).

Almost surely, 2^{22289416740864} is an apocalyptic number.

22289416740864 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 22289416740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42160273279488).

22289416740864 is an abundant number, since it is smaller than the sum of its proper divisors (62031129818112).

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

22289416740864 is a wasteful number, since it uses less digits than its factorization.

22289416740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 22289416740864 in words is "twenty-two trillion, two hundred eighty-nine billion, four hundred sixteen million, seven hundred forty thousand, eight hundred sixty-four".