45217913160 has 512 divisors, whose sum is σ = 164229120000. Its totient is φ = 9744261120.

The previous prime is 45217913119. The next prime is 45217913161. The reversal of 45217913160 is 6131971254.

It is not an unprimeable number, because it can be changed into a prime (45217913161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252613951 + ... + 252614129.

It is an arithmetic number, because the mean of its divisors is an integer number (320760000).

Almost surely, 2^45217913160 is an apocalyptic number.

45217913160 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 45217913160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82114560000).

45217913160 is an abundant number, since it is smaller than the sum of its proper divisors (119011206840).

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

45217913160 is a wasteful number, since it uses less digits than its factorization.

45217913160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 45217913160 in words is "forty-five billion, two hundred seventeen million, nine hundred thirteen thousand, one hundred sixty".