4164870645 has 72 divisors (see below), whose sum is σ = 7965405864. Its totient is φ = 2011516416.

The previous prime is 4164870631. The next prime is 4164870653. The reversal of 4164870645 is 5460784614.

It can be written as a sum of positive squares in 12 ways, for example, as 1390320369 + 2774550276 = 37287^2 + 52674^2 .

It is not a de Polignac number, because 4164870645 - 2⁸ = 4164870389 is a prime.

It is a super-3 number, since 3×4164870645³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4164870645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397899 + ... + 408231.

It is an arithmetic number, because the mean of its divisors is an integer number (110630637).

Almost surely, 2^4164870645 is an apocalyptic number.

4164870645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4164870645 is a deficient number, since it is larger than the sum of its proper divisors (3800535219).

4164870645 is a wasteful number, since it uses less digits than its factorization.

4164870645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10423 (or 10407 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4164870645 is about 64535.8090132912. The cubic root of 4164870645 is about 1608.9177358010.

The spelling of 4164870645 in words is "four billion, one hundred sixty-four million, eight hundred seventy thousand, six hundred forty-five".