886464464688 has 240 divisors, whose sum is σ = 2752931301120. Its totient is φ = 264045888000.

The previous prime is 886464464651. The next prime is 886464464729.

It is a happy number.

886464464688 is a `hidden beast` number, since 8 + 8 + 6 + 464 + 46 + 46 + 88 = 666.

886464464688 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22217845 + ... + 22257707.

It is an arithmetic number, because the mean of its divisors is an integer number (11470547088).

Almost surely, 2^886464464688 is an apocalyptic number.

886464464688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 886464464688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376465650560).

886464464688 is an abundant number, since it is smaller than the sum of its proper divisors (1866466836432).

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

886464464688 is a wasteful number, since it uses less digits than its factorization.

886464464688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40128 (or 40119 counting only the distinct ones).

The product of its digits is 1358954496, while the sum is 72.

The spelling of 886464464688 in words is "eight hundred eighty-six billion, four hundred sixty-four million, four hundred sixty-four thousand, six hundred eighty-eight".