21868043563584 has 315 divisors, whose sum is σ = 65543201606883. Its totient is φ = 7209326529792.

The previous prime is 21868043563573. The next prime is 21868043563609. The reversal of 21868043563584 is 48536534086812.

The square root of 21868043563584 is 4676328.

It is a perfect power (a square), and thus also a powerful number.

21868043563584 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 8 + 0 + 43 + 5 + 6 + 3 + 584 = 666.

It is a super-2 number, since 2×21868043563584² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36026430609 + ... + 36026431215.

Almost surely, 2^{21868043563584} is an apocalyptic number.

21868043563584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21868043563584 is the 4676328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21868043563584

21868043563584 is an abundant number, since it is smaller than the sum of its proper divisors (43675158043299).

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

21868043563584 is an frugal number, since it uses more digits than its factorization.

21868043563584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 21868043563584 in words is "twenty-one trillion, eight hundred sixty-eight billion, forty-three million, five hundred sixty-three thousand, five hundred eighty-four".