2122167743657 has 8 divisors (see below), whose sum is σ = 2316718422984. Its totient is φ = 1932089493888.

The previous prime is 2122167743627. The next prime is 2122167743677. The reversal of 2122167743657 is 7563477612212.

It can be written as a sum of positive squares in 4 ways, for example, as 903663721 + 2121264079936 = 30061^2 + 1456456^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122167743657 - 2¹⁰ = 2122167742633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122167743599 and 2122167743608.

It is not an unprimeable number, because it can be changed into a prime (2122167743617) 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 7 ways as a sum of consecutive naturals, for example, 1118106398 + ... + 1118108295.

It is an arithmetic number, because the mean of its divisors is an integer number (289589802873).

Almost surely, 2^{2122167743657} is an apocalyptic number.

It is an amenable number.

2122167743657 is a deficient number, since it is larger than the sum of its proper divisors (194550679327).

2122167743657 is a wasteful number, since it uses less digits than its factorization.

2122167743657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236214779.

The product of its digits is 5927040, while the sum is 53.

The spelling of 2122167743657 in words is "two trillion, one hundred twenty-two billion, one hundred sixty-seven million, seven hundred forty-three thousand, six hundred fifty-seven".