814189104000 has 512 divisors, whose sum is σ = 3022032499200. Its totient is φ = 215444736000.

The previous prime is 814189103977. The next prime is 814189104013. The reversal of 814189104000 is 401981418.

814189104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56584807 + ... + 56599193.

It is an arithmetic number, because the mean of its divisors is an integer number (5902407225).

Almost surely, 2^814189104000 is an apocalyptic number.

814189104000 is a gapful number since it is divisible by the number (80) 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 814189104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511016249600).

814189104000 is an abundant number, since it is smaller than the sum of its proper divisors (2207843395200).

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

814189104000 is a wasteful number, since it uses less digits than its factorization.

814189104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14556 (or 14528 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 814189104000 in words is "eight hundred fourteen billion, one hundred eighty-nine million, one hundred four thousand".