810415461147 has 32 divisors (see below), whose sum is σ = 1091398701120. Its totient is φ = 534885120000.

The previous prime is 810415461139. The next prime is 810415461151. The reversal of 810415461147 is 741164514018.

It is a happy number.

It is not a de Polignac number, because 810415461147 - 2³ = 810415461139 is a prime.

It is a super-2 number, since 2×810415461147² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 810415461099 and 810415461108.

It is not an unprimeable number, because it can be changed into a prime (810415461047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245504397 + ... + 245507697.

It is an arithmetic number, because the mean of its divisors is an integer number (34106209410).

Almost surely, 2^810415461147 is an apocalyptic number.

810415461147 is a deficient number, since it is larger than the sum of its proper divisors (280983239973).

810415461147 is a wasteful number, since it uses less digits than its factorization.

810415461147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375.

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 810415461147 in words is "eight hundred ten billion, four hundred fifteen million, four hundred sixty-one thousand, one hundred forty-seven".