21306148864 has 384 divisors, whose sum is σ = 60320332800. Its totient is φ = 7245987840.

The previous prime is 21306148861. The next prime is 21306148879. The reversal of 21306148864 is 46884160312.

It is a self number, because there is not a number n which added to its sum of digits gives 21306148864.

It is not an unprimeable number, because it can be changed into a prime (21306148861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38950639 + ... + 38951185.

It is an arithmetic number, because the mean of its divisors is an integer number (157084200).

Almost surely, 2^21306148864 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 21306148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30160166400).

21306148864 is an abundant number, since it is smaller than the sum of its proper divisors (39014183936).

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

21306148864 is a wasteful number, since it uses less digits than its factorization.

21306148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 21306148864 in words is "twenty-one billion, three hundred six million, one hundred forty-eight thousand, eight hundred sixty-four".