44652761344 has 81 divisors (see below), whose sum is σ = 91393091461. Its totient is φ = 21773588480.

The previous prime is 44652761273. The next prime is 44652761353. The reversal of 44652761344 is 44316725644.

The square root of 44652761344 is 211312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30175858944 + 14476902400 = 173712^2 + 120320^2 .

It is a Duffinian number.

Its product of digits (1935360) is a multiple of the sum of its prime factors (672).

It is a junction number, because it is equal to n+sod(n) for n = 44652761294 and 44652761303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 158906484 + ... + 158906764.

Almost surely, 2^44652761344 is an apocalyptic number.

44652761344 is the 211312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44652761344

44652761344 is an abundant number, since it is smaller than the sum of its proper divisors (46740330117).

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

44652761344 is an frugal number, since it uses more digits than its factorization.

44652761344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 330 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 46.

The spelling of 44652761344 in words is "forty-four billion, six hundred fifty-two million, seven hundred sixty-one thousand, three hundred forty-four".