21846981265824 has 1152 divisors, whose sum is σ = 72484612300800. Its totient is φ = 5698969436160.

The previous prime is 21846981265789. The next prime is 21846981265859. The reversal of 21846981265824 is 42856218964812.

It is an interprime number because it is at equal distance from previous prime (21846981265789) and next prime (21846981265859).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 28859948454 + ... + 28859949210.

It is an arithmetic number, because the mean of its divisors is an integer number (62920670400).

Almost surely, 2^{21846981265824} is an apocalyptic number.

21846981265824 is a gapful number since it is divisible by the number (24) 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 21846981265824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36242306150400).

21846981265824 is an abundant number, since it is smaller than the sum of its proper divisors (50637631034976).

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

21846981265824 is a wasteful number, since it uses less digits than its factorization.

21846981265824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 977 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 66.

The spelling of 21846981265824 in words is "twenty-one trillion, eight hundred forty-six billion, nine hundred eighty-one million, two hundred sixty-five thousand, eight hundred twenty-four".