814016016 has 60 divisors (see below), whose sum is σ = 2485220400. Its totient is φ = 246671040.

The previous prime is 814016003. The next prime is 814016039. The reversal of 814016016 is 610610418.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255366 + ... + 258533.

It is an arithmetic number, because the mean of its divisors is an integer number (41420340).

Almost surely, 2^814016016 is an apocalyptic number.

It is an amenable number.

814016016 is an abundant number, since it is smaller than the sum of its proper divisors (1671204384).

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

814016016 is a wasteful number, since it uses less digits than its factorization.

814016016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513924 (or 513915 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 814016016 is about 28530.9659142483. The cubic root of 814016016 is about 933.7077923750.

It can be divided in two parts, 81 and 4016016, that multiplied together give a square (325297296 = 18036²).

The spelling of 814016016 in words is "eight hundred fourteen million, sixteen thousand, sixteen".