22821318141696 has 1296 divisors, whose sum is σ = 74768822489088. Its totient is φ = 6927184281600.

The previous prime is 22821318141679. The next prime is 22821318141701. The reversal of 22821318141696 is 69614181312822.

22821318141696 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 131 + 8 + 1 + 416 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119483340961 + ... + 119483341151.

Almost surely, 2^{22821318141696} 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 22821318141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37384411244544).

22821318141696 is an abundant number, since it is smaller than the sum of its proper divisors (51947504347392).

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

22821318141696 is an equidigital number, since it uses as much as digits as its factorization.

22821318141696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 317 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 22821318141696 in words is "twenty-two trillion, eight hundred twenty-one billion, three hundred eighteen million, one hundred forty-one thousand, six hundred ninety-six".