21967043923968 has 416 divisors, whose sum is σ = 71031328714752. Its totient is φ = 5946399129600.

The previous prime is 21967043923963. The next prime is 21967043924009. The reversal of 21967043923968 is 86932934076912.

It is a tau number, because it is divible by the number of its divisors (416).

It is not an unprimeable number, because it can be changed into a prime (21967043923963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54271071 + ... + 54674337.

Almost surely, 2^{21967043923968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21967043923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35515664357376).

21967043923968 is an abundant number, since it is smaller than the sum of its proper divisors (49064284790784).

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

21967043923968 is a wasteful number, since it uses less digits than its factorization.

21967043923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403349 (or 403327 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 69.

The spelling of 21967043923968 in words is "twenty-one trillion, nine hundred sixty-seven billion, forty-three million, nine hundred twenty-three thousand, nine hundred sixty-eight".