21964698169344 has 936 divisors, whose sum is σ = 78201851210496. Its totient is φ = 5807628288000.

The previous prime is 21964698169339. The next prime is 21964698169411. The reversal of 21964698169344 is 44396189646912.

It is a happy number.

21964698169344 is a `hidden beast` number, since 2 + 1 + 9 + 64 + 69 + 8 + 169 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5703633019 + ... + 5703636869.

It is an arithmetic number, because the mean of its divisors is an integer number (83548986336).

Almost surely, 2^{21964698169344} is an apocalyptic number.

21964698169344 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 21964698169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39100925605248).

21964698169344 is an abundant number, since it is smaller than the sum of its proper divisors (56237153041152).

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

21964698169344 is a wasteful number, since it uses less digits than its factorization.

21964698169344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3917 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 21964698169344 in words is "twenty-one trillion, nine hundred sixty-four billion, six hundred ninety-eight million, one hundred sixty-nine thousand, three hundred forty-four".