814928373798 has 864 divisors, whose sum is σ = 2395722147840. Its totient is φ = 183537446400.

The previous prime is 814928373797. The next prime is 814928373827. The reversal of 814928373798 is 897373829418.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814928373793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9156498538 + ... + 9156498626.

It is an arithmetic number, because the mean of its divisors is an integer number (2772826560).

Almost surely, 2^814928373798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814928373798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197861073920).

814928373798 is an abundant number, since it is smaller than the sum of its proper divisors (1580793774042).

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

814928373798 is a wasteful number, since it uses less digits than its factorization.

814928373798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 185 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 69.

The spelling of 814928373798 in words is "eight hundred fourteen billion, nine hundred twenty-eight million, three hundred seventy-three thousand, seven hundred ninety-eight".