10661608747167 has 48 divisors (see below), whose sum is σ = 16941507897600. Its totient is φ = 5943431991168.

The previous prime is 10661608747129. The next prime is 10661608747213. The reversal of 10661608747167 is 76174780616601.

It is not a de Polignac number, because 10661608747167 - 2⁶ = 10661608747103 is a prime.

It is a super-2 number, since 2×10661608747167² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10661608747167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661608747117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4177459 + ... + 6226907.

It is an arithmetic number, because the mean of its divisors is an integer number (352948081200).

Almost surely, 2^{10661608747167} is an apocalyptic number.

10661608747167 is a deficient number, since it is larger than the sum of its proper divisors (6279899150433).

10661608747167 is a wasteful number, since it uses less digits than its factorization.

10661608747167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050332 (or 2050325 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 10661608747167 in words is "ten trillion, six hundred sixty-one billion, six hundred eight million, seven hundred forty-seven thousand, one hundred sixty-seven".