4166893101 has 16 divisors (see below), whose sum is σ = 6568502400. Its totient is φ = 2298975168.

The previous prime is 4166893079. The next prime is 4166893109. The reversal of 4166893101 is 1013986614.

It is not a de Polignac number, because 4166893101 - 2¹⁴ = 4166876717 is a prime.

It is a super-2 number, since 2×4166893101² = 34725996230322792402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4166893101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166893109) 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, 3420486 + ... + 3421703.

It is an arithmetic number, because the mean of its divisors is an integer number (410531400).

Almost surely, 2^4166893101 is an apocalyptic number.

It is an amenable number.

4166893101 is a deficient number, since it is larger than the sum of its proper divisors (2401609299).

4166893101 is a wasteful number, since it uses less digits than its factorization.

4166893101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842228.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 4166893101 is about 64551.4763657656. The cubic root of 4166893101 is about 1609.1781231407.

The spelling of 4166893101 in words is "four billion, one hundred sixty-six million, eight hundred ninety-three thousand, one hundred one".