45117350600 has 288 divisors, whose sum is σ = 134075496000. Its totient is φ = 13790269440.

The previous prime is 45117350587. The next prime is 45117350611. The reversal of 45117350600 is 605371154.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7684466 + ... + 7690334.

Almost surely, 2^45117350600 is an apocalyptic number.

45117350600 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 45117350600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67037748000).

45117350600 is an abundant number, since it is smaller than the sum of its proper divisors (88958145400).

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

45117350600 is a wasteful number, since it uses less digits than its factorization.

45117350600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5945 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 45117350600 in words is "forty-five billion, one hundred seventeen million, three hundred fifty thousand, six hundred".