814312452096 has 1248 divisors, whose sum is σ = 2967359467520. Its totient is φ = 218972160000.

The previous prime is 814312452077. The next prime is 814312452097. The reversal of 814312452096 is 690254213418.

814312452096 is a `hidden beast` number, since 8 + 1 + 4 + 31 + 2 + 4 + 520 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814312452097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5392797621 + ... + 5392797771.

Almost surely, 2^814312452096 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 814312452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483679733760).

814312452096 is an abundant number, since it is smaller than the sum of its proper divisors (2153047015424).

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

814312452096 is a wasteful number, since it uses less digits than its factorization.

814312452096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 814312452096 in words is "eight hundred fourteen billion, three hundred twelve million, four hundred fifty-two thousand, ninety-six".