45176422016 has 128 divisors (see below), whose sum is σ = 101593958400. Its totient is φ = 19824307200.

The previous prime is 45176422009. The next prime is 45176422019. The reversal of 45176422016 is 61022467154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (45176422019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22826915 + ... + 22828893.

It is an arithmetic number, because the mean of its divisors is an integer number (793702800).

Almost surely, 2^45176422016 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 45176422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50796979200).

45176422016 is an abundant number, since it is smaller than the sum of its proper divisors (56417536384).

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

45176422016 is a wasteful number, since it uses less digits than its factorization.

45176422016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

It can be divided in two parts, 451 and 76422016, that added together give a palindrome (76422467).

The spelling of 45176422016 in words is "forty-five billion, one hundred seventy-six million, four hundred twenty-two thousand, sixteen".