864106446348 has 144 divisors (see below), whose sum is σ = 2299117766400. Its totient is φ = 273243196800.

The previous prime is 864106446341. The next prime is 864106446373. The reversal of 864106446348 is 843644601468.

It is a happy number.

864106446348 is a `hidden beast` number, since 8 + 64 + 106 + 446 + 34 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 864106446294 and 864106446303.

It is not an unprimeable number, because it can be changed into a prime (864106446341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213304923 + ... + 213308973.

It is an arithmetic number, because the mean of its divisors is an integer number (15966095600).

Almost surely, 2^864106446348 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 864106446348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149558883200).

864106446348 is an abundant number, since it is smaller than the sum of its proper divisors (1435011320052).

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

864106446348 is a wasteful number, since it uses less digits than its factorization.

864106446348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7612 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 864106446348 in words is "eight hundred sixty-four billion, one hundred six million, four hundred forty-six thousand, three hundred forty-eight".