45830997312064 has 56 divisors (see below), whose sum is σ = 91286442403128. Its totient is φ = 22829740707840.

The previous prime is 45830997311969. The next prime is 45830997312077. The reversal of 45830997312064 is 46021379903854.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16101022961664 + 29729974350400 = 4012608^2 + 5452520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45830997311993 and 45830997312011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56547444 + ... + 57352204.

It is an arithmetic number, because the mean of its divisors is an integer number (1630115042913).

It is a 1-persistent number, because it is pandigital, but 2⋅45830997312064 = 91661994624128 is not.

Almost surely, 2^{45830997312064} is an apocalyptic number.

It is an amenable number.

45830997312064 is a deficient number, since it is larger than the sum of its proper divisors (45455445091064).

45830997312064 is a wasteful number, since it uses less digits than its factorization.

45830997312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808103 (or 808093 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 45830997312064 in words is "forty-five trillion, eight hundred thirty billion, nine hundred ninety-seven million, three hundred twelve thousand, sixty-four".