16364152389312 has 672 divisors, whose sum is σ = 59181877023360. Its totient is φ = 4207370895360.

The previous prime is 16364152389229. The next prime is 16364152389323. The reversal of 16364152389312 is 21398325146361.

16364152389312 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 4 + 1 + 523 + 89 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4412010114 + ... + 4412013822.

It is an arithmetic number, because the mean of its divisors is an integer number (88068269380).

Almost surely, 2^{16364152389312} is an apocalyptic number.

16364152389312 is a gapful number since it is divisible by the number (12) 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 16364152389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29590938511680).

16364152389312 is an abundant number, since it is smaller than the sum of its proper divisors (42817724634048).

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

16364152389312 is a wasteful number, since it uses less digits than its factorization.

16364152389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5828 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 16364152389312 in words is "sixteen trillion, three hundred sixty-four billion, one hundred fifty-two million, three hundred eighty-nine thousand, three hundred twelve".