45083179584 has 147 divisors (see below), whose sum is σ = 134268132403. Its totient is φ = 15012438912.

The previous prime is 45083179577. The next prime is 45083179601. The reversal of 45083179584 is 48597138054.

The square root of 45083179584 is 212328.

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

45083179584 is a `hidden beast` number, since 4 + 50 + 8 + 3 + 1 + 7 + 9 + 584 = 666.

45083179584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45083179584³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 45083179584.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 45862357 + ... + 45863339.

Almost surely, 2^45083179584 is an apocalyptic number.

45083179584 is the 212328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45083179584

45083179584 is an abundant number, since it is smaller than the sum of its proper divisors (89184952819).

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

45083179584 is an frugal number, since it uses more digits than its factorization.

45083179584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 45083179584 in words is "forty-five billion, eighty-three million, one hundred seventy-nine thousand, five hundred eighty-four".