814872035328 has 512 divisors, whose sum is σ = 2459636551680. Its totient is φ = 238241710080.

The previous prime is 814872035303. The next prime is 814872035347. The reversal of 814872035328 is 823530278418.

It is a tau number, because it is divible by the number of its divisors (512).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2654306151 + ... + 2654306457.

It is an arithmetic number, because the mean of its divisors is an integer number (4803977640).

Almost surely, 2^814872035328 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 814872035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229818275840).

814872035328 is an abundant number, since it is smaller than the sum of its proper divisors (1644764516352).

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

814872035328 is a wasteful number, since it uses less digits than its factorization.

814872035328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 814872035328 in words is "eight hundred fourteen billion, eight hundred seventy-two million, thirty-five thousand, three hundred twenty-eight".