8701815613456 has 135 divisors (see below), whose sum is σ = 19782308583639. Its totient is φ = 3697313808384.

The previous prime is 8701815613423. The next prime is 8701815613471. The reversal of 8701815613456 is 6543165181078.

The square root of 8701815613456 is 2949884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4129347600 + 8697686265856 = 64260^2 + 2949184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8701815613397 and 8701815613406.

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 26 ways as a sum of consecutive naturals, for example, 11315754640 + ... + 11315755408.

Almost surely, 2^{8701815613456} is an apocalyptic number.

8701815613456 is the 2949884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8701815613456

8701815613456 is an abundant number, since it is smaller than the sum of its proper divisors (11080492970183).

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

8701815613456 is an frugal number, since it uses more digits than its factorization.

8701815613456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 8701815613456 in words is "eight trillion, seven hundred one billion, eight hundred fifteen million, six hundred thirteen thousand, four hundred fifty-six".