22943290083840 has 960 divisors, whose sum is σ = 95659804880640. Its totient is φ = 4964536811520.

The previous prime is 22943290083827. The next prime is 22943290083841. The reversal of 22943290083840 is 4838009234922.

22943290083840 is a `hidden beast` number, since 2 + 2 + 9 + 432 + 90 + 0 + 83 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (22943290083841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8019324010 + ... + 8019326870.

It is an arithmetic number, because the mean of its divisors is an integer number (99645630084).

Almost surely, 2^{22943290083840} is an apocalyptic number.

22943290083840 is a gapful number since it is divisible by the number (20) 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 22943290083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47829902440320).

22943290083840 is an abundant number, since it is smaller than the sum of its proper divisors (72716514796800).

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

22943290083840 is a wasteful number, since it uses less digits than its factorization.

22943290083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 22943290083840 in words is "twenty-two trillion, nine hundred forty-three billion, two hundred ninety million, eighty-three thousand, eight hundred forty".