45009319716 has 81 divisors (see below), whose sum is σ = 120141359793. Its totient is φ = 14205831840.

The previous prime is 45009319699. The next prime is 45009319721. The reversal of 45009319716 is 61791390054.

The square root of 45009319716 is 212154.

It is a perfect power (a square), and thus also a powerful number.

45009319716 is a `hidden beast` number, since 450 + 0 + 9 + 3 + 197 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48358116 + 44960961600 = 6954^2 + 212040^2 .

It is a super-2 number, since 2×45009319716² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 24184626 + ... + 24186486.

Almost surely, 2^45009319716 is an apocalyptic number.

45009319716 is the 212154-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45009319716

45009319716 is an abundant number, since it is smaller than the sum of its proper divisors (75132040077).

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

45009319716 is a wasteful number, since it uses less digits than its factorization.

45009319716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 45009319716 in words is "forty-five billion, nine million, three hundred nineteen thousand, seven hundred sixteen".