45535034160 has 480 divisors, whose sum is σ = 193901160960. Its totient is φ = 9300787200.

The previous prime is 45535034147. The next prime is 45535034161. The reversal of 45535034160 is 6143053554.

45535034160 is a `hidden beast` number, since 4 + 5 + 53 + 503 + 41 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45535034161) 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 95 ways as a sum of consecutive naturals, for example, 3264000 + ... + 3277920.

It is an arithmetic number, because the mean of its divisors is an integer number (403960752).

Almost surely, 2^45535034160 is an apocalyptic number.

45535034160 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 45535034160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96950580480).

45535034160 is an abundant number, since it is smaller than the sum of its proper divisors (148366126800).

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

45535034160 is a wasteful number, since it uses less digits than its factorization.

45535034160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14017 (or 14008 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 45535034160 in words is "forty-five billion, five hundred thirty-five million, thirty-four thousand, one hundred sixty".