21614408064 has 160 divisors (see below), whose sum is σ = 66543127200. Its totient is φ = 6956264448.

The previous prime is 21614408063. The next prime is 21614408117. The reversal of 21614408064 is 46080441612.

It is a happy number.

21614408064 is a `hidden beast` number, since 21 + 61 + 440 + 80 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21614408063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 264729 + ... + 336615.

It is an arithmetic number, because the mean of its divisors is an integer number (415894545).

Almost surely, 2^21614408064 is an apocalyptic number.

21614408064 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 21614408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33271563600).

21614408064 is an abundant number, since it is smaller than the sum of its proper divisors (44928719136).

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

21614408064 is an equidigital number, since it uses as much as digits as its factorization.

21614408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71942 (or 71921 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 21614408064 its reverse (46080441612), we get a palindrome (67694849676).

The spelling of 21614408064 in words is "twenty-one billion, six hundred fourteen million, four hundred eight thousand, sixty-four".