21886637349888 has 1408 divisors, whose sum is σ = 72308618403840. Its totient is φ = 6518168616960.

The previous prime is 21886637349883. The next prime is 21886637349893. The reversal of 21886637349888 is 88894373668812.

21886637349888 is a `hidden beast` number, since 2 + 1 + 8 + 86 + 6 + 373 + 4 + 98 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (21886637349883) and next prime (21886637349893).

It is a super-2 number, since 2×21886637349888² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21886637349883) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64945511256 + ... + 64945511592.

Almost surely, 2^{21886637349888} 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 21886637349888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36154309201920).

21886637349888 is an abundant number, since it is smaller than the sum of its proper divisors (50421981053952).

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

21886637349888 is a wasteful number, since it uses less digits than its factorization.

21886637349888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 506 counting only the distinct ones).

The product of its digits is 5350883328, while the sum is 81.

The spelling of 21886637349888 in words is "twenty-one trillion, eight hundred eighty-six billion, six hundred thirty-seven million, three hundred forty-nine thousand, eight hundred eighty-eight".