44725211252744 has 96 divisors (see below), whose sum is σ = 93061560207000. Its totient is φ = 20134585912320.

The previous prime is 44725211252669. The next prime is 44725211252747.

It is a happy number.

44725211252744 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 22618946259844 + 22106264992900 = 4755938^2 + 4701730^2 .

It is a super-3 number, since 3×44725211252744³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44725211252692 and 44725211252701.

It is not an unprimeable number, because it can be changed into a prime (44725211252747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251979452 + ... + 252156884.

Almost surely, 2^{44725211252744} is an apocalyptic number.

44725211252744 is a gapful number since it is divisible by the number (44) 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 44725211252744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46530780103500).

44725211252744 is an abundant number, since it is smaller than the sum of its proper divisors (48336348954256).

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

44725211252744 is a wasteful number, since it uses less digits than its factorization.

44725211252744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179959 (or 179944 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 50.

The spelling of 44725211252744 in words is "forty-four trillion, seven hundred twenty-five billion, two hundred eleven million, two hundred fifty-two thousand, seven hundred forty-four".