45132016016 has 160 divisors (see below), whose sum is σ = 96253660800. Its totient is φ = 20429660160.

The previous prime is 45132016003. The next prime is 45132016019. The reversal of 45132016016 is 61061023154.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45132016016.

It is not an unprimeable number, because it can be changed into a prime (45132016019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187269656 + ... + 187269896.

It is an arithmetic number, because the mean of its divisors is an integer number (601585380).

Almost surely, 2^45132016016 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 45132016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48126830400).

45132016016 is an abundant number, since it is smaller than the sum of its proper divisors (51121644784).

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

45132016016 is a wasteful number, since it uses less digits than its factorization.

45132016016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 45132016016 in words is "forty-five billion, one hundred thirty-two million, sixteen thousand, sixteen".