45171630720 has 256 divisors, whose sum is σ = 163706083200. Its totient is φ = 11765440512.

The previous prime is 45171630719. The next prime is 45171630737. The reversal of 45171630720 is 2703617154.

It is a happy number.

45171630720 is a `hidden beast` number, since 4 + 5 + 17 + 1 + 630 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712644 + ... + 773436.

Almost surely, 2^45171630720 is an apocalyptic number.

45171630720 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 45171630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81853041600).

45171630720 is an abundant number, since it is smaller than the sum of its proper divisors (118534452480).

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

45171630720 is a wasteful number, since it uses less digits than its factorization.

45171630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60864 (or 60846 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 45171630720 in words is "forty-five billion, one hundred seventy-one million, six hundred thirty thousand, seven hundred twenty".