21868420414464 has 616 divisors, whose sum is σ = 70792924295520. Its totient is φ = 6708932739072.

The previous prime is 21868420414411. The next prime is 21868420414567. The reversal of 21868420414464 is 46441402486812.

21868420414464 is a `hidden beast` number, since 2 + 1 + 86 + 8 + 420 + 41 + 44 + 64 = 666.

It is a super-2 number, since 2×21868420414464² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21868420414464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3483893694 + ... + 3483899970.

Almost surely, 2^{21868420414464} is an apocalyptic number.

21868420414464 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 21868420414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35396462147760).

21868420414464 is an abundant number, since it is smaller than the sum of its proper divisors (48924503881056).

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

21868420414464 is an equidigital number, since it uses as much as digits as its factorization.

21868420414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 21868420414464 in words is "twenty-one trillion, eight hundred sixty-eight billion, four hundred twenty million, four hundred fourteen thousand, four hundred sixty-four".