44332114464 has 72 divisors (see below), whose sum is σ = 137530319472. Its totient is φ = 13433973120.

The previous prime is 44332114459. The next prime is 44332114471. The reversal of 44332114464 is 46441123344.

44332114464 is a `hidden beast` number, since 4 + 433 + 21 + 144 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 6993694 + ... + 7000029.

It is an arithmetic number, because the mean of its divisors is an integer number (1910143326).

Almost surely, 2^44332114464 is an apocalyptic number.

44332114464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44332114464 is an abundant number, since it is smaller than the sum of its proper divisors (93198205008).

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

44332114464 is a wasteful number, since it uses less digits than its factorization.

44332114464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13993750 (or 13993739 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 44332114464 in words is "forty-four billion, three hundred thirty-two million, one hundred fourteen thousand, four hundred sixty-four".