21413298816 has 768 divisors, whose sum is σ = 80838051840. Its totient is φ = 5286961152.

The previous prime is 21413298811. The next prime is 21413298913. The reversal of 21413298816 is 61889231412.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21413298811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200124235 + ... + 200124341.

It is an arithmetic number, because the mean of its divisors is an integer number (105257880).

Almost surely, 2^21413298816 is an apocalyptic number.

21413298816 is a gapful number since it is divisible by the number (26) 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 21413298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40419025920).

21413298816 is an abundant number, since it is smaller than the sum of its proper divisors (59424753024).

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

21413298816 is a wasteful number, since it uses less digits than its factorization.

21413298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 21413298816 in words is "twenty-one billion, four hundred thirteen million, two hundred ninety-eight thousand, eight hundred sixteen".