45069591616 has 189 divisors, whose sum is σ = 111014198469. Its totient is φ = 18097809408.

The previous prime is 45069591547. The next prime is 45069591617. The reversal of 45069591616 is 61619596054.

It is a happy number.

The square root of 45069591616 is 212296.

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., 35088782400 + 9980809216 = 187320^2 + 99904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45069591617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202105681 + ... + 202105903.

Almost surely, 2^45069591616 is an apocalyptic number.

45069591616 is the 212296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45069591616

45069591616 is an abundant number, since it is smaller than the sum of its proper divisors (65944606853).

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

45069591616 is an equidigital number, since it uses as much as digits as its factorization.

45069591616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 45069591616 in words is "forty-five billion, sixty-nine million, five hundred ninety-one thousand, six hundred sixteen".