22141679486160 has 320 divisors, whose sum is σ = 80792088975360. Its totient is φ = 4964182917120.

The previous prime is 22141679486149. The next prime is 22141679486203. The reversal of 22141679486160 is 6168497614122.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22141679486160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5088865 + ... + 8377344.

It is an arithmetic number, because the mean of its divisors is an integer number (252475278048).

Almost surely, 2^{22141679486160} is an apocalyptic number.

22141679486160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22141679486160 is an abundant number, since it is smaller than the sum of its proper divisors (58650409489200).

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

22141679486160 is a wasteful number, since it uses less digits than its factorization.

22141679486160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13466286 (or 13466280 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 22141679486160 in words is "twenty-two trillion, one hundred forty-one billion, six hundred seventy-nine million, four hundred eighty-six thousand, one hundred sixty".