2166111072657 has 48 divisors (see below), whose sum is σ = 3652627410432. Its totient is φ = 1211195220480.

The previous prime is 2166111072637. The next prime is 2166111072659. The reversal of 2166111072657 is 7562701116612.

2166111072657 is a `hidden beast` number, since 2 + 1 + 6 + 611 + 1 + 0 + 7 + 26 + 5 + 7 = 666.

It is not a de Polignac number, because 2166111072657 - 2¹⁹ = 2166110548369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2166111072659) 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, 14972853 + ... + 15116829.

It is an arithmetic number, because the mean of its divisors is an integer number (76096404384).

Almost surely, 2^{2166111072657} is an apocalyptic number.

It is an amenable number.

2166111072657 is a deficient number, since it is larger than the sum of its proper divisors (1486516337775).

2166111072657 is a wasteful number, since it uses less digits than its factorization.

2166111072657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149118 (or 149115 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 2166111072657 in words is "two trillion, one hundred sixty-six billion, one hundred eleven million, seventy-two thousand, six hundred fifty-seven".