22542487283664 has 800 divisors, whose sum is σ = 70814684641536. Its totient is φ = 6904520663040.

The previous prime is 22542487283653. The next prime is 22542487283669. The reversal of 22542487283664 is 46638278424522.

22542487283664 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 248 + 7 + 28 + 366 + 4 = 666.

22542487283664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22542487283669) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 36535635484 + ... + 36535636100.

Almost surely, 2^{22542487283664} is an apocalyptic number.

22542487283664 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 22542487283664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35407342320768).

22542487283664 is an abundant number, since it is smaller than the sum of its proper divisors (48272197357872).

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

22542487283664 is a wasteful number, since it uses less digits than its factorization.

22542487283664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1050 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 63.

The spelling of 22542487283664 in words is "twenty-two trillion, five hundred forty-two billion, four hundred eighty-seven million, two hundred eighty-three thousand, six hundred sixty-four".