64131444 has 108 divisors (see below), whose sum is σ = 179053056. Its totient is φ = 19341504.

The previous prime is 64131433. The next prime is 64131451. The reversal of 64131444 is 44413146.

64131444 is a `hidden beast` number, since 641 + 3 + 14 + 4 + 4 = 666.

64131444 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 2×64131444² = 8225684219050272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 504909 + ... + 505035.

Almost surely, 2^64131444 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 64131444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89526528).

64131444 is an abundant number, since it is smaller than the sum of its proper divisors (114921612).

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

64131444 is a wasteful number, since it uses less digits than its factorization.

64131444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 228 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 64131444 is about 8008.2110361803. The cubic root of 64131444 is about 400.2736544071.

The spelling of 64131444 in words is "sixty-four million, one hundred thirty-one thousand, four hundred forty-four".