34516853001 has 48 divisors (see below), whose sum is σ = 53436110400. Its totient is φ = 22017251520.

The previous prime is 34516852963. The next prime is 34516853009. The reversal of 34516853001 is 10035861543.

34516853001 is a `hidden beast` number, since 34 + 516 + 85 + 30 + 0 + 1 = 666.

It is not a de Polignac number, because 34516853001 - 2¹⁰ = 34516851977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34516853009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2301810 + ... + 2316756.

It is an arithmetic number, because the mean of its divisors is an integer number (1113252300).

Almost surely, 2^34516853001 is an apocalyptic number.

34516853001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34516853001 is a deficient number, since it is larger than the sum of its proper divisors (18919257399).

34516853001 is a wasteful number, since it uses less digits than its factorization.

34516853001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15107 (or 15070 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 34516853001 in words is "thirty-four billion, five hundred sixteen million, eight hundred fifty-three thousand, one".