45217360640 has 108 divisors (see below), whose sum is σ = 109424289072. Its totient is φ = 17902694400.

The previous prime is 45217360633. The next prime is 45217360649. The reversal of 45217360640 is 4606371254.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45217360594 and 45217360603.

It is not an unprimeable number, because it can be changed into a prime (45217360649) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13055549 + ... + 13059011.

Almost surely, 2^45217360640 is an apocalyptic number.

45217360640 is a gapful number since it is divisible by the number (40) 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 45217360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54712144536).

45217360640 is an abundant number, since it is smaller than the sum of its proper divisors (64206928432).

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

45217360640 is an equidigital number, since it uses as much as digits as its factorization.

45217360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 45217360640 in words is "forty-five billion, two hundred seventeen million, three hundred sixty thousand, six hundred forty".