814079155019900 has 288 divisors, whose sum is σ = 2234297555804160. Its totient is φ = 250094739456000.

The previous prime is 814079155019881. The next prime is 814079155019909. The reversal of 814079155019900 is 9910551970418.

It is a self number, because there is not a number n which added to its sum of digits gives 814079155019900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814079155019909) 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, 157767164 + ... + 162845436.

It is an arithmetic number, because the mean of its divisors is an integer number (7757977624320).

Almost surely, 2^{814079155019900} 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 814079155019900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117148777902080).

814079155019900 is an abundant number, since it is smaller than the sum of its proper divisors (1420218400784260).

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

814079155019900 is a wasteful number, since it uses less digits than its factorization.

814079155019900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078605 (or 5078598 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 59.

The spelling of 814079155019900 in words is "eight hundred fourteen trillion, seventy-nine billion, one hundred fifty-five million, nineteen thousand, nine hundred".