814081346815 has 64 divisors (see below), whose sum is σ = 1089227243520. Its totient is φ = 584007177600.

The previous prime is 814081346809. The next prime is 814081346899. The reversal of 814081346815 is 518643180418.

It is not a de Polignac number, because 814081346815 - 2³ = 814081346807 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151285425 + ... + 151290805.

It is an arithmetic number, because the mean of its divisors is an integer number (17019175680).

Almost surely, 2^814081346815 is an apocalyptic number.

814081346815 is a deficient number, since it is larger than the sum of its proper divisors (275145896705).

814081346815 is a wasteful number, since it uses less digits than its factorization.

814081346815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 814081346815 in words is "eight hundred fourteen billion, eighty-one million, three hundred forty-six thousand, eight hundred fifteen".