45164316552 has 64 divisors (see below), whose sum is σ = 115815057600. Its totient is φ = 14672067840.

The previous prime is 45164316541. The next prime is 45164316553. The reversal of 45164316552 is 25561346154.

It is a super-2 number, since 2×45164316552² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45164316553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18063 + ... + 301089.

It is an arithmetic number, because the mean of its divisors is an integer number (1809610275).

Almost surely, 2^45164316552 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 45164316552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57907528800).

45164316552 is an abundant number, since it is smaller than the sum of its proper divisors (70650741048).

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

45164316552 is a wasteful number, since it uses less digits than its factorization.

45164316552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283206 (or 283202 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 45164316552 in words is "forty-five billion, one hundred sixty-four million, three hundred sixteen thousand, five hundred fifty-two".