45236185344 has 405 divisors, whose sum is σ = 157655509011. Its totient is φ = 12863370240.

The previous prime is 45236185307. The next prime is 45236185361. The reversal of 45236185344 is 44358163254.

The square root of 45236185344 is 212688.

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

45236185344 is a `hidden beast` number, since 4 + 5 + 23 + 618 + 5 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45236185344.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 214389399 + ... + 214389609.

Almost surely, 2^45236185344 is an apocalyptic number.

45236185344 is the 212688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45236185344

45236185344 is an abundant number, since it is smaller than the sum of its proper divisors (112419323667).

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

45236185344 is an frugal number, since it uses more digits than its factorization.

45236185344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 223 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 45236185344 in words is "forty-five billion, two hundred thirty-six million, one hundred eighty-five thousand, three hundred forty-four".