21964911696 has 480 divisors, whose sum is σ = 83159260800. Its totient is φ = 5486745600.

The previous prime is 21964911653. The next prime is 21964911719. The reversal of 21964911696 is 69611946912.

21964911696 is a `hidden beast` number, since 2 + 1 + 96 + 491 + 1 + 69 + 6 = 666.

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

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5226396 + ... + 5230596.

It is an arithmetic number, because the mean of its divisors is an integer number (173248460).

Almost surely, 2^21964911696 is an apocalyptic number.

21964911696 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 21964911696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41579630400).

21964911696 is an abundant number, since it is smaller than the sum of its proper divisors (61194349104).

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

21964911696 is a wasteful number, since it uses less digits than its factorization.

21964911696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4245 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 21964911696 in words is "twenty-one billion, nine hundred sixty-four million, nine hundred eleven thousand, six hundred ninety-six".