22105066464 has 144 divisors (see below), whose sum is σ = 68039244000. Its totient is φ = 6767152128.

The previous prime is 22105066457. The next prime is 22105066537. The reversal of 22105066464 is 46466050122.

22105066464 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 5 + 0 + 6 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730222 + ... + 759890.

It is an arithmetic number, because the mean of its divisors is an integer number (472494750).

Almost surely, 2^22105066464 is an apocalyptic number.

22105066464 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 22105066464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34019622000).

22105066464 is an abundant number, since it is smaller than the sum of its proper divisors (45934177536).

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

22105066464 is a wasteful number, since it uses less digits than its factorization.

22105066464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29897 (or 29886 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22105066464 in words is "twenty-two billion, one hundred five million, sixty-six thousand, four hundred sixty-four".