8387765914896 has 75 divisors (see below), whose sum is σ = 24276929813301. Its totient is φ = 2795887217664.

The previous prime is 8387765914883. The next prime is 8387765914907. The reversal of 8387765914896 is 6984195677838.

The square root of 8387765914896 is 2896164.

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

8387765914896 is a `hidden beast` number, since 8 + 3 + 8 + 77 + 65 + 9 + 1 + 489 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3457234484496 + 4930531430400 = 1859364^2 + 2220480^2 .

It is a super-2 number, since 2×8387765914896² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 104221680 + ... + 104302128.

Almost surely, 2^{8387765914896} is an apocalyptic number.

8387765914896 is the 2896164-th square number.

It is an amenable number.

8387765914896 is an abundant number, since it is smaller than the sum of its proper divisors (15889163898405).

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

8387765914896 is an frugal number, since it uses more digits than its factorization.

8387765914896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160918 (or 80454 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

Multiplying 8387765914896 by its sum of digits (81), we get a square (679409039106576 = 26065476²).

8387765914896 divided by its sum of digits (81) gives a square (103552665616 = 321796²).

The spelling of 8387765914896 in words is "eight trillion, three hundred eighty-seven billion, seven hundred sixty-five million, nine hundred fourteen thousand, eight hundred ninety-six".