16119688864 has 48 divisors (see below), whose sum is σ = 33638286528. Its totient is φ = 7577644032.

The previous prime is 16119688859. The next prime is 16119688891. The reversal of 16119688864 is 46888691161.

16119688864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16119688864² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16119688799 and 16119688808.

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 7 ways as a sum of consecutive naturals, for example, 510727 + ... + 541369.

It is an arithmetic number, because the mean of its divisors is an integer number (700797636).

Almost surely, 2^16119688864 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 16119688864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819143264).

16119688864 is an abundant number, since it is smaller than the sum of its proper divisors (17518597664).

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

16119688864 is a wasteful number, since it uses less digits than its factorization.

16119688864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31637 (or 31629 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 58.

The spelling of 16119688864 in words is "sixteen billion, one hundred nineteen million, six hundred eighty-eight thousand, eight hundred sixty-four".