22940984450016 has 288 divisors, whose sum is σ = 67004045821440. Its totient is φ = 7442000197632.

The previous prime is 22940984449979. The next prime is 22940984450099. The reversal of 22940984450016 is 61005448904922.

22940984450016 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 0 + 98 + 44 + 500 + 1 + 6 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1775199331 + ... + 1775212253.

It is an arithmetic number, because the mean of its divisors is an integer number (232652936880).

Almost surely, 2^{22940984450016} 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 22940984450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33502022910720).

22940984450016 is an abundant number, since it is smaller than the sum of its proper divisors (44063061371424).

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

22940984450016 is a wasteful number, since it uses less digits than its factorization.

22940984450016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13718 (or 13707 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 22940984450016 in words is "twenty-two trillion, nine hundred forty billion, nine hundred eighty-four million, four hundred fifty thousand, sixteen".