45818030160 has 480 divisors, whose sum is σ = 184617290880. Its totient is φ = 10413785088.

The previous prime is 45818030129. The next prime is 45818030191. The reversal of 45818030160 is 6103081854.

45818030160 is a `hidden beast` number, since 458 + 18 + 0 + 30 + 160 = 666.

45818030160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45818030129) and next prime (45818030191).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20425999 + ... + 20428241.

It is an arithmetic number, because the mean of its divisors is an integer number (384619356).

Almost surely, 2^45818030160 is an apocalyptic number.

45818030160 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 45818030160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92308645440).

45818030160 is an abundant number, since it is smaller than the sum of its proper divisors (138799260720).

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

45818030160 is a wasteful number, since it uses less digits than its factorization.

45818030160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 45818030160 in words is "forty-five billion, eight hundred eighteen million, thirty thousand, one hundred sixty".