814014456912 has 120 divisors (see below), whose sum is σ = 2287856469600. Its totient is φ = 270178424064.

The previous prime is 814014456743. The next prime is 814014456919. The reversal of 814014456912 is 219654410418.

814014456912 is a `hidden beast` number, since 8 + 1 + 40 + 1 + 44 + 569 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814014456919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85330639 + ... + 85340177.

It is an arithmetic number, because the mean of its divisors is an integer number (19065470580).

Almost surely, 2^814014456912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814014456912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143928234800).

814014456912 is an abundant number, since it is smaller than the sum of its proper divisors (1473842012688).

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

814014456912 is a wasteful number, since it uses less digits than its factorization.

814014456912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12025 (or 12016 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 814014456912 in words is "eight hundred fourteen billion, fourteen million, four hundred fifty-six thousand, nine hundred twelve".