21456791136 has 168 divisors, whose sum is σ = 69094222344. Its totient is φ = 6501980160.

The previous prime is 21456791131. The next prime is 21456791197. The reversal of 21456791136 is 63119765412.

It is a junction number, because it is equal to n+sod(n) for n = 21456791091 and 21456791100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21456791131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 214800 + ... + 298416.

It is an arithmetic number, because the mean of its divisors is an integer number (411275133).

Almost surely, 2^21456791136 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 21456791136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34547111172).

21456791136 is an abundant number, since it is smaller than the sum of its proper divisors (47637431208).

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

21456791136 is an equidigital number, since it uses as much as digits as its factorization.

21456791136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83656 (or 83633 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 21456791136 in words is "twenty-one billion, four hundred fifty-six million, seven hundred ninety-one thousand, one hundred thirty-six".