814121577984 has 480 divisors, whose sum is σ = 2580566833152. Its totient is φ = 226555084800.

The previous prime is 814121577977. The next prime is 814121577989. The reversal of 814121577984 is 489775121418.

814121577984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814121577989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538795789 + ... + 538797299.

Almost surely, 2^814121577984 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 814121577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290283416576).

814121577984 is an abundant number, since it is smaller than the sum of its proper divisors (1766445255168).

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

814121577984 is a wasteful number, since it uses less digits than its factorization.

814121577984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1763 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 57.

The spelling of 814121577984 in words is "eight hundred fourteen billion, one hundred twenty-one million, five hundred seventy-seven thousand, nine hundred eighty-four".