22382727681024 has 704 divisors, whose sum is σ = 70494168084480. Its totient is φ = 7000442634240.

The previous prime is 22382727680993. The next prime is 22382727681109. The reversal of 22382727681024 is 42018672728322.

22382727681024 is a `hidden beast` number, since 22 + 382 + 72 + 76 + 8 + 102 + 4 = 666.

It is a super-3 number, since 3×22382727681024³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22769814037 + ... + 22769815019.

Almost surely, 2^{22382727681024} is an apocalyptic number.

22382727681024 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 22382727681024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35247084042240).

22382727681024 is an abundant number, since it is smaller than the sum of its proper divisors (48111440403456).

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

22382727681024 is a wasteful number, since it uses less digits than its factorization.

22382727681024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 22382727681024 in words is "twenty-two trillion, three hundred eighty-two billion, seven hundred twenty-seven million, six hundred eighty-one thousand, twenty-four".