45117158464 has 63 divisors (see below), whose sum is σ = 104173864677. Its totient is φ = 19330827264.

The previous prime is 45117158461. The next prime is 45117158503. The reversal of 45117158464 is 46485171154.

The square root of 45117158464 is 212408.

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

It can be written as a sum of positive squares in only one way, i.e., 8179393600 + 36937764864 = 90440^2 + 192192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45117158461) 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 8 ways as a sum of consecutive naturals, for example, 11892952 + ... + 11896744.

Almost surely, 2^45117158464 is an apocalyptic number.

45117158464 is the 212408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45117158464

45117158464 is an abundant number, since it is smaller than the sum of its proper divisors (59056706213).

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

45117158464 is an frugal number, since it uses more digits than its factorization.

45117158464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 3802 counting only the distinct ones).

The product of its digits is 537600, while the sum is 46.

The spelling of 45117158464 in words is "forty-five billion, one hundred seventeen million, one hundred fifty-eight thousand, four hundred sixty-four".