22142746649664 has 189 divisors, whose sum is σ = 64218474059493. Its totient is φ = 7294671166464.

The previous prime is 22142746649609. The next prime is 22142746649677. The reversal of 22142746649664 is 46694664724122.

The square root of 22142746649664 is 4705608.

It is a perfect power (a square), and thus also a powerful number.

22142746649664 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 27 + 4 + 66 + 496 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4251876992064 + 17890869657600 = 2062008^2 + 4229760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10051177587 + ... + 10051179789.

Almost surely, 2^{22142746649664} is an apocalyptic number.

22142746649664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22142746649664 is the 4705608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142746649664

22142746649664 is an abundant number, since it is smaller than the sum of its proper divisors (42075727409829).

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

22142746649664 is an frugal number, since it uses more digits than its factorization.

22142746649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 2297 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 22142746649664 in words is "twenty-two trillion, one hundred forty-two billion, seven hundred forty-six million, six hundred forty-nine thousand, six hundred sixty-four".