34516417845 has 64 divisors (see below), whose sum is σ = 70314693120. Its totient is φ = 14062906368.

The previous prime is 34516417807. The next prime is 34516417847. The reversal of 34516417845 is 54871461543.

It is not a de Polignac number, because 34516417845 - 2⁶ = 34516417781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34516417794 and 34516417803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34516417847) 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 63 ways as a sum of consecutive naturals, for example, 396394 + ... + 475563.

It is an arithmetic number, because the mean of its divisors is an integer number (1098667080).

Almost surely, 2^34516417845 is an apocalyptic number.

34516417845 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34516417845 is an abundant number, since it is smaller than the sum of its proper divisors (35798275275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34516417845 is a wasteful number, since it uses less digits than its factorization.

34516417845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872014.

The product of its digits is 1612800, while the sum is 48.

The spelling of 34516417845 in words is "thirty-four billion, five hundred sixteen million, four hundred seventeen thousand, eight hundred forty-five".