8172124164 has 18 divisors (see below), whose sum is σ = 20657313950. Its totient is φ = 2724041376.

The previous prime is 8172124151. The next prime is 8172124193. The reversal of 8172124164 is 4614212718.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5330168064 + 2841956100 = 73008^2 + 53310^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×8172124164² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 227003449 = 8172124164 / (8 + 1 + 7 + 2 + 1 + 2 + 4 + 1 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 113501689 + ... + 113501760.

Almost surely, 2^8172124164 is an apocalyptic number.

It is an amenable number.

8172124164 is an abundant number, since it is smaller than the sum of its proper divisors (12485189786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8172124164 is a wasteful number, since it uses less digits than its factorization.

8172124164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227003459 (or 227003454 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 8172124164 is about 90399.8017918181. The cubic root of 8172124164 is about 2014.2420220060.

The spelling of 8172124164 in words is "eight billion, one hundred seventy-two million, one hundred twenty-four thousand, one hundred sixty-four".