22261007101688 has 64 divisors (see below), whose sum is σ = 42006645394560. Its totient is φ = 11059518370176.

The previous prime is 22261007101687. The next prime is 22261007101691. The reversal of 22261007101688 is 88610170016222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22261007101681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031212031 + ... + 1031233617.

It is an arithmetic number, because the mean of its divisors is an integer number (656353834290).

Almost surely, 2^{22261007101688} is an apocalyptic number.

It is an amenable number.

22261007101688 is a deficient number, since it is larger than the sum of its proper divisors (19745638292872).

22261007101688 is a wasteful number, since it uses less digits than its factorization.

22261007101688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23196 (or 23192 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 22261007101688 in words is "twenty-two trillion, two hundred sixty-one billion, seven million, one hundred one thousand, six hundred eighty-eight".