815845108726368 has 480 divisors, whose sum is σ = 2856638463275520. Its totient is φ = 223558796482560.

The previous prime is 815845108726339. The next prime is 815845108726369. The reversal of 815845108726368 is 863627801548518.

815845108726368 is a `hidden beast` number, since 8 + 1 + 5 + 8 + 4 + 510 + 8 + 72 + 6 + 36 + 8 = 666.

815845108726368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 815845108726296 and 815845108726305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815845108726369) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34596205 + ... + 53184467.

It is an arithmetic number, because the mean of its divisors is an integer number (5951330131824).

Almost surely, 2^{815845108726368} 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 815845108726368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428319231637760).

815845108726368 is an abundant number, since it is smaller than the sum of its proper divisors (2040793354549152).

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

815845108726368 is a wasteful number, since it uses less digits than its factorization.

815845108726368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18588392 (or 18588375 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 815845108726368 in words is "eight hundred fifteen trillion, eight hundred forty-five billion, one hundred eight million, seven hundred twenty-six thousand, three hundred sixty-eight".