22261343660192 has 384 divisors, whose sum is σ = 55306395648000. Its totient is φ = 8587031040000.

The previous prime is 22261343660191. The next prime is 22261343660239. The reversal of 22261343660192 is 29106634316222.

It is not an unprimeable number, because it can be changed into a prime (22261343660191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7732316609 + ... + 7732319487.

It is an arithmetic number, because the mean of its divisors is an integer number (144027072000).

Almost surely, 2^{22261343660192} 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 22261343660192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27653197824000).

22261343660192 is an abundant number, since it is smaller than the sum of its proper divisors (33045051987808).

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

22261343660192 is a wasteful number, since it uses less digits than its factorization.

22261343660192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The spelling of 22261343660192 in words is "twenty-two trillion, two hundred sixty-one billion, three hundred forty-three million, six hundred sixty thousand, one hundred ninety-two".