21046814008480 has 192 divisors, whose sum is σ = 55003743331488. Its totient is φ = 7559925350400.

The previous prime is 21046814008471. The next prime is 21046814008511. The reversal of 21046814008480 is 8480041864012.

It can be written as a sum of positive squares in 16 ways, for example, as 2984892003856 + 18061922004624 = 1727684^2 + 4249932^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21046814008480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608043654 + ... + 608078266.

Almost surely, 2^{21046814008480} is an apocalyptic number.

21046814008480 is a gapful number since it is divisible by the number (20) 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 21046814008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27501871665744).

21046814008480 is an abundant number, since it is smaller than the sum of its proper divisors (33956929323008).

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

21046814008480 is a wasteful number, since it uses less digits than its factorization.

21046814008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42579 (or 42571 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The spelling of 21046814008480 in words is "twenty-one trillion, forty-six billion, eight hundred fourteen million, eight thousand, four hundred eighty".