21845222574336 has 2880 divisors, whose sum is σ = 87291521856000. Its totient is φ = 5393690394624.

The previous prime is 21845222574257. The next prime is 21845222574403. The reversal of 21845222574336 is 63347522254812.

21845222574336 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 52 + 2 + 257 + 4 + 336 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 85000865920 + ... + 85000866176.

It is an arithmetic number, because the mean of its divisors is an integer number (30309556200).

Almost surely, 2^{21845222574336} 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 21845222574336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43645760928000).

21845222574336 is an abundant number, since it is smaller than the sum of its proper divisors (65446299281664).

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

21845222574336 is a wasteful number, since it uses less digits than its factorization.

21845222574336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 342 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 21845222574336 in words is "twenty-one trillion, eight hundred forty-five billion, two hundred twenty-two million, five hundred seventy-four thousand, three hundred thirty-six".