16264965483936 has 288 divisors, whose sum is σ = 53850232275840. Its totient is φ = 4613063104512.

The previous prime is 16264965483883. The next prime is 16264965483937. The reversal of 16264965483936 is 63938456946261.

16264965483936 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 49 + 6 + 548 + 3 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (16264965483937) 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, 457780 + ... + 5721843.

It is an arithmetic number, because the mean of its divisors is an integer number (186979973180).

Almost surely, 2^{16264965483936} is an apocalyptic number.

16264965483936 is a gapful number since it is divisible by the number (16) 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 16264965483936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26925116137920).

16264965483936 is an abundant number, since it is smaller than the sum of its proper divisors (37585266791904).

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

16264965483936 is a wasteful number, since it uses less digits than its factorization.

16264965483936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179708 (or 6179697 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 72.

The spelling of 16264965483936 in words is "sixteen trillion, two hundred sixty-four billion, nine hundred sixty-five million, four hundred eighty-three thousand, nine hundred thirty-six".