815951000936448 has 2016 divisors, whose sum is σ = 2805028708285440. Its totient is φ = 226902367272960.

The previous prime is 815951000936437. The next prime is 815951000936473. The reversal of 815951000936448 is 844639000159518.

815951000936448 is a `hidden beast` number, since 8 + 1 + 5 + 95 + 10 + 0 + 0 + 93 + 6 + 448 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1434008788708 + ... + 1434008789276.

It is an arithmetic number, because the mean of its divisors is an integer number (1391383287840).

Almost surely, 2^{815951000936448} 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 815951000936448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402514354142720).

815951000936448 is an abundant number, since it is smaller than the sum of its proper divisors (1989077707348992).

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

815951000936448 is a wasteful number, since it uses less digits than its factorization.

815951000936448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 815951000936448 in words is "eight hundred fifteen trillion, nine hundred fifty-one billion, nine hundred thirty-six thousand, four hundred forty-eight".