45309081216 has 128 divisors (see below), whose sum is σ = 137718115200. Its totient is φ = 12929200128.

The previous prime is 45309081163. The next prime is 45309081217. The reversal of 45309081216 is 61218090354.

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 (45309081217) 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, 2218186 + ... + 2238518.

It is an arithmetic number, because the mean of its divisors is an integer number (1075922775).

Almost surely, 2^45309081216 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 45309081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68859057600).

45309081216 is an abundant number, since it is smaller than the sum of its proper divisors (92409033984).

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

45309081216 is a wasteful number, since it uses less digits than its factorization.

45309081216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21186 (or 21174 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 45309081216 in words is "forty-five billion, three hundred nine million, eighty-one thousand, two hundred sixteen".