45447244416 has 576 divisors, whose sum is σ = 158563477800. Its totient is φ = 12448235520.

The previous prime is 45447244399. The next prime is 45447244429. The reversal of 45447244416 is 61444274454.

It can be written as a sum of positive squares in 4 ways, for example, as 17392334400 + 28054910016 = 131880^2 + 167496^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 168948730 + ... + 168948998.

Almost surely, 2^45447244416 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 45447244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79281738900).

45447244416 is an abundant number, since it is smaller than the sum of its proper divisors (113116233384).

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

45447244416 is a wasteful number, since it uses less digits than its factorization.

45447244416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 45.

The spelling of 45447244416 in words is "forty-five billion, four hundred forty-seven million, two hundred forty-four thousand, four hundred sixteen".