22681921536 has 192 divisors, whose sum is σ = 70728840000. Its totient is φ = 7162380288.

The previous prime is 22681921531. The next prime is 22681921541. The reversal of 22681921536 is 63512918622.

22681921536 is a `hidden beast` number, since 2 + 26 + 8 + 1 + 92 + 1 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (22681921531) and next prime (22681921541).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 22681921491 and 22681921500.

It is not an unprimeable number, because it can be changed into a prime (22681921531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039830 + ... + 1061418.

It is an arithmetic number, because the mean of its divisors is an integer number (368379375).

Almost surely, 2^22681921536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22681921536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35364420000).

22681921536 is an abundant number, since it is smaller than the sum of its proper divisors (48046918464).

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

22681921536 is a wasteful number, since it uses less digits than its factorization.

22681921536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21639 (or 21613 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 22681921536 in words is "twenty-two billion, six hundred eighty-one million, nine hundred twenty-one thousand, five hundred thirty-six".