45875281680 has 120 divisors (see below), whose sum is σ = 154863218328. Its totient is φ = 12169986048.

The previous prime is 45875281679. The next prime is 45875281687. The reversal of 45875281680 is 8618257854.

45875281680 is a `hidden beast` number, since 4 + 58 + 7 + 528 + 1 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5053503744 + 40821777936 = 71088^2 + 202044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (45875281687) 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 23 ways as a sum of consecutive naturals, for example, 26107 + ... + 304026.

Almost surely, 2^45875281680 is an apocalyptic number.

45875281680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45875281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77431609164).

45875281680 is an abundant number, since it is smaller than the sum of its proper divisors (108987936648).

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

45875281680 is a wasteful number, since it uses less digits than its factorization.

45875281680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330345 (or 330336 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 45875281680 in words is "forty-five billion, eight hundred seventy-five million, two hundred eighty-one thousand, six hundred eighty".