45575146344 has 256 divisors, whose sum is σ = 145662451200. Its totient is φ = 11561730048.

The previous prime is 45575146339. The next prime is 45575146349. The reversal of 45575146344 is 44364157554.

It is an interprime number because it is at equal distance from previous prime (45575146339) and next prime (45575146349).

It is a junction number, because it is equal to n+sod(n) for n = 45575146293 and 45575146302.

It is not an unprimeable number, because it can be changed into a prime (45575146349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7188744 + ... + 7195080.

It is an arithmetic number, because the mean of its divisors is an integer number (568993950).

Almost surely, 2^45575146344 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 45575146344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72831225600).

45575146344 is an abundant number, since it is smaller than the sum of its proper divisors (100087304856).

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

45575146344 is a wasteful number, since it uses less digits than its factorization.

45575146344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6488 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 48.

The spelling of 45575146344 in words is "forty-five billion, five hundred seventy-five million, one hundred forty-six thousand, three hundred forty-four".