8146590345 has 24 divisors (see below), whose sum is σ = 14142170952. Its totient is φ = 4338259200.

The previous prime is 8146590341. The next prime is 8146590449. The reversal of 8146590345 is 5430956418.

8146590345 is a `hidden beast` number, since 8 + 14 + 6 + 590 + 3 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3855292281 + 4291298064 = 62091^2 + 65508^2 .

It is not a de Polignac number, because 8146590345 - 2² = 8146590341 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 8146590345.

It is not an unprimeable number, because it can be changed into a prime (8146590341) 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, 107196 + ... + 166685.

It is an arithmetic number, because the mean of its divisors is an integer number (589257123).

Almost surely, 2^8146590345 is an apocalyptic number.

It is an amenable number.

8146590345 is a deficient number, since it is larger than the sum of its proper divisors (5995580607).

8146590345 is a wasteful number, since it uses less digits than its factorization.

8146590345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274553 (or 274550 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 8146590345 is about 90258.4641183308. The cubic root of 8146590345 is about 2012.1419988427.

The spelling of 8146590345 in words is "eight billion, one hundred forty-six million, five hundred ninety thousand, three hundred forty-five".