7829144145 has 24 divisors (see below), whose sum is σ = 13859254656. Its totient is φ = 4086701088.

The previous prime is 7829144143. The next prime is 7829144171. The reversal of 7829144145 is 5414419287.

7829144145 is a `hidden beast` number, since 7 + 82 + 91 + 441 + 45 = 666.

It is not a de Polignac number, because 7829144145 - 2¹ = 7829144143 is a prime.

It is a super-2 number, since 2×7829144145² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7829144145.

It is not an unprimeable number, because it can be changed into a prime (7829144143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1848747 + ... + 1852976.

It is an arithmetic number, because the mean of its divisors is an integer number (577468944).

Almost surely, 2^7829144145 is an apocalyptic number.

It is an amenable number.

7829144145 is a deficient number, since it is larger than the sum of its proper divisors (6030110511).

7829144145 is a wasteful number, since it uses less digits than its factorization.

7829144145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701781 (or 3701778 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 7829144145 is about 88482.4510566926. The cubic root of 7829144145 is about 1985.6594319004.

The spelling of 7829144145 in words is "seven billion, eight hundred twenty-nine million, one hundred forty-four thousand, one hundred forty-five".