815398284002304 has 2816 divisors, whose sum is σ = 2689416069120000. Its totient is φ = 217545512583168.

The previous prime is 815398284002279. The next prime is 815398284002347. The reversal of 815398284002304 is 403200482893518.

It is a super-2 number, since 2×815398284002304² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 6420458929089 + ... + 6420458929215.

It is an arithmetic number, because the mean of its divisors is an integer number (955048320000).

Almost surely, 2^{815398284002304} 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 815398284002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344708034560000).

815398284002304 is an abundant number, since it is smaller than the sum of its proper divisors (1874017785117696).

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

815398284002304 is a wasteful number, since it uses less digits than its factorization.

815398284002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 815398284002304 in words is "eight hundred fifteen trillion, three hundred ninety-eight billion, two hundred eighty-four million, two thousand, three hundred four".