814192326444 has 96 divisors (see below), whose sum is σ = 2231168912896. Its totient is φ = 226206328320.

The previous prime is 814192326419. The next prime is 814192326449. The reversal of 814192326444 is 444623291418.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 814192326393 and 814192326402.

It is not an unprimeable number, because it can be changed into a prime (814192326449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5279064 + ... + 5431104.

Almost surely, 2^814192326444 is an apocalyptic number.

814192326444 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814192326444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115584456448).

814192326444 is an abundant number, since it is smaller than the sum of its proper divisors (1416976586452).

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

814192326444 is a wasteful number, since it uses less digits than its factorization.

814192326444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153815 (or 153813 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 814192326444 in words is "eight hundred fourteen billion, one hundred ninety-two million, three hundred twenty-six thousand, four hundred forty-four".