45016957584 has 45 divisors (see below), whose sum is σ = 125992083529. Its totient is φ = 15004803840.

The previous prime is 45016957561. The next prime is 45016957619. The reversal of 45016957584 is 48575961054.

It is a happy number.

The square root of 45016957584 is 212172.

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

45016957584 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 6 + 9 + 57 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12270435984 + 32746521600 = 110772^2 + 180960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45016957584.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2537224 + ... + 2554904.

Almost surely, 2^45016957584 is an apocalyptic number.

45016957584 is the 212172-nd square number.

It is an amenable number.

45016957584 is an abundant number, since it is smaller than the sum of its proper divisors (80975125945).

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

45016957584 is an frugal number, since it uses more digits than its factorization.

45016957584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35376 (or 17686 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 45016957584 in words is "forty-five billion, sixteen million, nine hundred fifty-seven thousand, five hundred eighty-four".