8151119664 has 80 divisors (see below), whose sum is σ = 21759750144. Its totient is φ = 2626560000.

The previous prime is 8151119651. The next prime is 8151119671. The reversal of 8151119664 is 4669111518.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1713289 + ... + 1718039.

Almost surely, 2^8151119664 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 8151119664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879875072).

8151119664 is an abundant number, since it is smaller than the sum of its proper divisors (13608630480).

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

8151119664 is a wasteful number, since it uses less digits than its factorization.

8151119664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5946 (or 5940 counting only the distinct ones).

The product of its digits is 51840, while the sum is 42.

The square root of 8151119664 is about 90283.5514587236. The cubic root of 8151119664 is about 2012.5148314893.

The spelling of 8151119664 in words is "eight billion, one hundred fifty-one million, one hundred nineteen thousand, six hundred sixty-four".