21960114768 has 100 divisors (see below), whose sum is σ = 64325028768. Its totient is φ = 7231809600.

The previous prime is 21960114767. The next prime is 21960114791. The reversal of 21960114768 is 86741106912.

21960114768 is a `hidden beast` number, since 21 + 9 + 601 + 14 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21960114767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5493 + ... + 209643.

Almost surely, 2^21960114768 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 21960114768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32162514384).

21960114768 is an abundant number, since it is smaller than the sum of its proper divisors (42364914000).

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

21960114768 is a wasteful number, since it uses less digits than its factorization.

21960114768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204254 (or 204239 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21960114768 in words is "twenty-one billion, nine hundred sixty million, one hundred fourteen thousand, seven hundred sixty-eight".