34263462516864 has 128 divisors (see below), whose sum is σ = 105267265044480. Its totient is φ = 9671614141440.

The previous prime is 34263462516851. The next prime is 34263462516923. The reversal of 34263462516864 is 46861526436243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 34263462516798 and 34263462516807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76564992 + ... + 77011199.

It is an arithmetic number, because the mean of its divisors is an integer number (822400508160).

Almost surely, 2^{34263462516864} is an apocalyptic number.

It is an amenable number.

34263462516864 is an abundant number, since it is smaller than the sum of its proper divisors (71003802527616).

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

34263462516864 is a wasteful number, since it uses less digits than its factorization.

34263462516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153576298 (or 153576286 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 60.

The spelling of 34263462516864 in words is "thirty-four trillion, two hundred sixty-three billion, four hundred sixty-two million, five hundred sixteen thousand, eight hundred sixty-four".