45687012066 has 60 divisors (see below), whose sum is σ = 108421295202. Its totient is φ = 14329661184.

The previous prime is 45687012043. The next prime is 45687012097. The reversal of 45687012066 is 66021078654.

45687012066 is a `hidden beast` number, since 4 + 568 + 7 + 0 + 1 + 20 + 66 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26886488841 + 18800523225 = 163971^2 + 137115^2 .

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 11215006 + ... + 11219078.

Almost surely, 2^45687012066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45687012066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54210647601).

45687012066 is an abundant number, since it is smaller than the sum of its proper divisors (62734283136).

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

45687012066 is an frugal number, since it uses more digits than its factorization.

45687012066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45687012066 in words is "forty-five billion, six hundred eighty-seven million, twelve thousand, sixty-six".