76129162245 has 18 divisors (see below), whose sum is σ = 131960422854. Its totient is φ = 40601232720.

The previous prime is 76129162243. The next prime is 76129162261. The reversal of 76129162245 is 54226192167.

76129162245 is a `hidden beast` number, since 7 + 6 + 12 + 9 + 1 + 622 + 4 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60903329796 + 15225832449 = 246786^2 + 123393^2 .

It is not a de Polignac number, because 76129162245 - 2¹ = 76129162243 is a prime.

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 76129162245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76129162243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1830330 + ... + 1871460.

It is an arithmetic number, because the mean of its divisors is an integer number (7331134603).

Almost surely, 2^76129162245 is an apocalyptic number.

It is an amenable number.

76129162245 is a deficient number, since it is larger than the sum of its proper divisors (55831260609).

76129162245 is an frugal number, since it uses more digits than its factorization.

76129162245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82273 (or 41139 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

Multiplying 76129162245 by its sum of digits (45), we get a square (3425812301025 = 1850895²).

76129162245 divided by its sum of digits (45) gives a square (1691759161 = 41131²).

The spelling of 76129162245 in words is "seventy-six billion, one hundred twenty-nine million, one hundred sixty-two thousand, two hundred forty-five".