816113702880 has 384 divisors, whose sum is σ = 3369763676160. Its totient is φ = 180522639360.

The previous prime is 816113702863. The next prime is 816113702881. The reversal of 816113702880 is 88207311618.

It is a happy number.

816113702880 is a `hidden beast` number, since 8 + 1 + 611 + 3 + 7 + 0 + 28 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816113702881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502152 + ... + 1372728.

It is an arithmetic number, because the mean of its divisors is an integer number (8775426240).

Almost surely, 2^816113702880 is an apocalyptic number.

816113702880 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 816113702880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684881838080).

816113702880 is an abundant number, since it is smaller than the sum of its proper divisors (2553649973280).

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

816113702880 is a wasteful number, since it uses less digits than its factorization.

816113702880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870639 (or 870625 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 816113702880 in words is "eight hundred sixteen billion, one hundred thirteen million, seven hundred two thousand, eight hundred eighty".