22941884399616 has 1080 divisors, whose sum is σ = 85071956546304. Its totient is φ = 6049364705280.

The previous prime is 22941884399579. The next prime is 22941884399627. The reversal of 22941884399616 is 61699348814922.

22941884399616 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 188 + 439 + 9 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4709889661 + ... + 4709894531.

Almost surely, 2^{22941884399616} is an apocalyptic number.

22941884399616 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 22941884399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42535978273152).

22941884399616 is an abundant number, since it is smaller than the sum of its proper divisors (62130072146688).

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

22941884399616 is an frugal number, since it uses more digits than its factorization.

22941884399616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4896 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 22941884399616 in words is "twenty-two trillion, nine hundred forty-one billion, eight hundred eighty-four million, three hundred ninety-nine thousand, six hundred sixteen".