45217957824 has 336 divisors, whose sum is σ = 149006527488. Its totient is φ = 12987039744.

The previous prime is 45217957661. The next prime is 45217957871. The reversal of 45217957824 is 42875971254.

45217957824 is a `hidden beast` number, since 4 + 52 + 17 + 9 + 578 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16165194 + ... + 16167990.

It is an arithmetic number, because the mean of its divisors is an integer number (443471808).

Almost surely, 2^45217957824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45217957824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74503263744).

45217957824 is an abundant number, since it is smaller than the sum of its proper divisors (103788569664).

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

45217957824 is a wasteful number, since it uses less digits than its factorization.

45217957824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2959 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 45217957824 in words is "forty-five billion, two hundred seventeen million, nine hundred fifty-seven thousand, eight hundred twenty-four".