8735416345 has 8 divisors (see below), whose sum is σ = 11034210240. Its totient is φ = 6620526000.

The previous prime is 8735416309. The next prime is 8735416369. The reversal of 8735416345 is 5436145378.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8735416345 - 2⁹ = 8735415833 is a prime.

It is a super-3 number, since 3×8735416345³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8735416295 and 8735416304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45975781 + ... + 45975970.

It is an arithmetic number, because the mean of its divisors is an integer number (1379276280).

Almost surely, 2^8735416345 is an apocalyptic number.

It is an amenable number.

8735416345 is a deficient number, since it is larger than the sum of its proper divisors (2298793895).

8735416345 is a wasteful number, since it uses less digits than its factorization.

8735416345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91951775.

The product of its digits is 1209600, while the sum is 46.

The square root of 8735416345 is about 93463.4492462160. The cubic root of 8735416345 is about 2059.4971865626.

The spelling of 8735416345 in words is "eight billion, seven hundred thirty-five million, four hundred sixteen thousand, three hundred forty-five".