22045982976 has 288 divisors, whose sum is σ = 69351448320. Its totient is φ = 6884130816.

The previous prime is 22045982951. The next prime is 22045983017. The reversal of 22045982976 is 67928954022.

22045982976 is a `hidden beast` number, since 2 + 20 + 4 + 598 + 29 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43828741 + ... + 43829243.

It is an arithmetic number, because the mean of its divisors is an integer number (240803640).

Almost surely, 2^22045982976 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 22045982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34675724160).

22045982976 is an abundant number, since it is smaller than the sum of its proper divisors (47305465344).

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

22045982976 is a wasteful number, since it uses less digits than its factorization.

22045982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 22045982976 in words is "twenty-two billion, forty-five million, nine hundred eighty-two thousand, nine hundred seventy-six".