45482605056 has 320 divisors, whose sum is σ = 154466780160. Its totient is φ = 12944240640.

The previous prime is 45482605033. The next prime is 45482605109. The reversal of 45482605056 is 65050628454.

45482605056 is a `hidden beast` number, since 4 + 5 + 4 + 82 + 60 + 505 + 6 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 29707011 + ... + 29708541.

It is an arithmetic number, because the mean of its divisors is an integer number (482708688).

Almost surely, 2^45482605056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45482605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77233390080).

45482605056 is an abundant number, since it is smaller than the sum of its proper divisors (108984175104).

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

45482605056 is a wasteful number, since it uses less digits than its factorization.

45482605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 45482605056 in words is "forty-five billion, four hundred eighty-two million, six hundred five thousand, fifty-six".