21981835313496 has 256 divisors, whose sum is σ = 67562385638400. Its totient is φ = 6586749278208.

The previous prime is 21981835313491. The next prime is 21981835313527. The reversal of 21981835313496 is 69431353818912.

21981835313496 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 1 + 8 + 3 + 531 + 3 + 4 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21981835313491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57492910 + ... + 57873986.

It is an arithmetic number, because the mean of its divisors is an integer number (263915568900).

Almost surely, 2^{21981835313496} 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 21981835313496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33781192819200).

21981835313496 is an abundant number, since it is smaller than the sum of its proper divisors (45580550324904).

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

21981835313496 is a wasteful number, since it uses less digits than its factorization.

21981835313496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381815 (or 381805 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The spelling of 21981835313496 in words is "twenty-one trillion, nine hundred eighty-one billion, eight hundred thirty-five million, three hundred thirteen thousand, four hundred ninety-six".