22154656680 has 320 divisors, whose sum is σ = 82154595600. Its totient is φ = 5320028160.

The previous prime is 22154656669. The next prime is 22154656681. The reversal of 22154656680 is 8665645122.

22154656680 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 4 + 6 + 566 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3188409156 + 18966247524 = 56466^2 + 137718^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22154656681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1720506 + ... + 1733334.

Almost surely, 2^22154656680 is an apocalyptic number.

22154656680 is a gapful number since it is divisible by the number (20) 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 22154656680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41077297800).

22154656680 is an abundant number, since it is smaller than the sum of its proper divisors (59999938920).

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

22154656680 is a wasteful number, since it uses less digits than its factorization.

22154656680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12906 (or 12893 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 22154656680 in words is "twenty-two billion, one hundred fifty-four million, six hundred fifty-six thousand, six hundred eighty".