4444114464 has 96 divisors (see below), whose sum is σ = 13525626240. Its totient is φ = 1416957696.

The previous prime is 4444114453. The next prime is 4444114481. The reversal of 4444114464 is 4644114444.

4444114464 is a `hidden beast` number, since 44 + 44 + 114 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 91947 + ... + 131690.

It is an arithmetic number, because the mean of its divisors is an integer number (140891940).

Almost surely, 2^4444114464 is an apocalyptic number.

It is an amenable number.

4444114464 is an abundant number, since it is smaller than the sum of its proper divisors (9081511776).

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

4444114464 is a wasteful number, since it uses less digits than its factorization.

4444114464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223679 (or 223665 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 4444114464 is about 66664.1917673949. The cubic root of 4444114464 is about 1644.1006917921.

The spelling of 4444114464 in words is "four billion, four hundred forty-four million, one hundred fourteen thousand, four hundred sixty-four".