34460536153065 has 64 divisors (see below), whose sum is σ = 63689261126400. Its totient is φ = 15724870615040.

The previous prime is 34460536153039. The next prime is 34460536153079. The reversal of 34460536153065 is 56035163506443.

It is not a de Polignac number, because 34460536153065 - 2²⁶ = 34460469044201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 34460536152999 and 34460536153017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114711937 + ... + 115011953.

It is an arithmetic number, because the mean of its divisors is an integer number (995144705100).

Almost surely, 2^{34460536153065} is an apocalyptic number.

It is an amenable number.

34460536153065 is a deficient number, since it is larger than the sum of its proper divisors (29228724973335).

34460536153065 is a wasteful number, since it uses less digits than its factorization.

34460536153065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341002.

The product of its (nonzero) digits is 11664000, while the sum is 51.

The spelling of 34460536153065 in words is "thirty-four trillion, four hundred sixty billion, five hundred thirty-six million, one hundred fifty-three thousand, sixty-five".