45443414016 has 768 divisors, whose sum is σ = 180960998400. Its totient is φ = 10882252800.

The previous prime is 45443413979. The next prime is 45443414041. The reversal of 45443414016 is 61041434454.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 55350886 + ... + 55351706.

It is an arithmetic number, because the mean of its divisors is an integer number (235626300).

Almost surely, 2^45443414016 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 45443414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90480499200).

45443414016 is an abundant number, since it is smaller than the sum of its proper divisors (135517584384).

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

45443414016 is a wasteful number, since it uses less digits than its factorization.

45443414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 45443414016 in words is "forty-five billion, four hundred forty-three million, four hundred fourteen thousand, sixteen".