21821308314624 has 2112 divisors, whose sum is σ = 84600396840960. Its totient is φ = 5257242869760.

The previous prime is 21821308314623. The next prime is 21821308314647. The reversal of 21821308314624 is 42641380312812.

21821308314624 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 1 + 3 + 0 + 8 + 3 + 14 + 624 = 666.

It is a super-2 number, since 2×21821308314624² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21821308314624.

It is not an unprimeable number, because it can be changed into a prime (21821308314623) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82970753917 + ... + 82970754179.

It is an arithmetic number, because the mean of its divisors is an integer number (40057006080).

Almost surely, 2^{21821308314624} is an apocalyptic number.

21821308314624 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 21821308314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42300198420480).

21821308314624 is an abundant number, since it is smaller than the sum of its proper divisors (62779088526336).

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

21821308314624 is a wasteful number, since it uses less digits than its factorization.

21821308314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 21821308314624 in words is "twenty-one trillion, eight hundred twenty-one billion, three hundred eight million, three hundred fourteen thousand, six hundred twenty-four".