45271217216 has 112 divisors (see below), whose sum is σ = 95784643584. Its totient is φ = 21184559616.

The previous prime is 45271217213. The next prime is 45271217231. The reversal of 45271217216 is 61271217254.

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 45271217216.

It is not an unprimeable number, because it can be changed into a prime (45271217213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13071101 + ... + 13074563.

It is an arithmetic number, because the mean of its divisors is an integer number (855220032).

Almost surely, 2^45271217216 is an apocalyptic number.

45271217216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45271217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47892321792).

45271217216 is an abundant number, since it is smaller than the sum of its proper divisors (50513426368).

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

45271217216 is a wasteful number, since it uses less digits than its factorization.

45271217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3678 counting only the distinct ones).

The product of its digits is 47040, while the sum is 38.

Adding to 45271217216 its sum of digits (38), we get a palindrome (45271217254).

The spelling of 45271217216 in words is "forty-five billion, two hundred seventy-one million, two hundred seventeen thousand, two hundred sixteen".