16033281264 has 800 divisors, whose sum is σ = 66061771776. Its totient is φ = 3613040640.

The previous prime is 16033281227. The next prime is 16033281269. The reversal of 16033281264 is 46218233061.

16033281264 is a `hidden beast` number, since 1 + 60 + 332 + 8 + 1 + 264 = 666.

It is a super-2 number, since 2×16033281264² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16033281269) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 22053669 + ... + 22054395.

Almost surely, 2^16033281264 is an apocalyptic number.

16033281264 is a gapful number since it is divisible by the number (14) 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 16033281264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030885888).

16033281264 is an abundant number, since it is smaller than the sum of its proper divisors (50028490512).

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

16033281264 is a wasteful number, since it uses less digits than its factorization.

16033281264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16033281264 in words is "sixteen billion, thirty-three million, two hundred eighty-one thousand, two hundred sixty-four".