810453390516 has 288 divisors, whose sum is σ = 2598462187776. Its totient is φ = 206862336000.

The previous prime is 810453390491. The next prime is 810453390553. The reversal of 810453390516 is 615093354018.

810453390516 is a `hidden beast` number, since 8 + 1 + 0 + 45 + 3 + 3 + 90 + 516 = 666.

810453390516 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294387796 + ... + 294390548.

It is an arithmetic number, because the mean of its divisors is an integer number (9022438152).

Almost surely, 2^810453390516 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 810453390516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299231093888).

810453390516 is an abundant number, since it is smaller than the sum of its proper divisors (1788008797260).

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

810453390516 is a wasteful number, since it uses less digits than its factorization.

810453390516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 810453390516 in words is "eight hundred ten billion, four hundred fifty-three million, three hundred ninety thousand, five hundred sixteen".