45645319450314 has 24 divisors (see below), whose sum is σ = 98914574387460. Its totient is φ = 15212586138048.

The previous prime is 45645319450217. The next prime is 45645319450319. The reversal of 45645319450314 is 41305491354654.

45645319450314 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 5 + 31 + 94 + 503 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34481147364225 + 11164172086089 = 5872065^2 + 3341283^2 .

It is a super-2 number, since 2×45645319450314² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45645319450319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209917099 + ... + 210134430.

Almost surely, 2^{45645319450314} is an apocalyptic number.

45645319450314 is an abundant number, since it is smaller than the sum of its proper divisors (53269254937146).

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

45645319450314 is a wasteful number, since it uses less digits than its factorization.

45645319450314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420057574 (or 420057571 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 45645319450314 in words is "forty-five trillion, six hundred forty-five billion, three hundred nineteen million, four hundred fifty thousand, three hundred fourteen".