64116144 has 80 divisors (see below), whose sum is σ = 185231200. Its totient is φ = 21233664.

The previous prime is 64116133. The next prime is 64116181. The reversal of 64116144 is 44161146.

64116144 is a `hidden beast` number, since 6 + 41 + 1 + 614 + 4 = 666.

64116144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64116144² = 8221759842857472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82992 + ... + 83760.

It is an arithmetic number, because the mean of its divisors is an integer number (2315390).

Almost surely, 2^64116144 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 64116144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92615600).

64116144 is an abundant number, since it is smaller than the sum of its proper divisors (121115056).

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

64116144 is a wasteful number, since it uses less digits than its factorization.

64116144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 967 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 64116144 is about 8007.2557096673. The cubic root of 64116144 is about 400.2418204444.

The spelling of 64116144 in words is "sixty-four million, one hundred sixteen thousand, one hundred forty-four".