45864458640 has 720 divisors, whose sum is σ = 210523150656. Its totient is φ = 8796211200.

The previous prime is 45864458639. The next prime is 45864458641. The reversal of 45864458640 is 4685446854.

45864458640 is a `hidden beast` number, since 4 + 5 + 86 + 445 + 86 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (45864458639) and next prime (45864458641).

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (45864458641) 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 143 ways as a sum of consecutive naturals, for example, 5040495 + ... + 5049585.

Almost surely, 2^45864458640 is an apocalyptic number.

45864458640 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 45864458640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105261575328).

45864458640 is an abundant number, since it is smaller than the sum of its proper divisors (164658692016).

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

45864458640 is a wasteful number, since it uses less digits than its factorization.

45864458640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 45864458640 in words is "forty-five billion, eight hundred sixty-four million, four hundred fifty-eight thousand, six hundred forty".