45095856086160 has 320 divisors, whose sum is σ = 169489045935360. Its totient is φ = 10929880350720.

The previous prime is 45095856086117. The next prime is 45095856086167. The reversal of 45095856086160 is 6168065859054.

It is a happy number.

45095856086160 is a `hidden beast` number, since 4 + 5 + 0 + 9 + 5 + 8 + 5 + 6 + 0 + 8 + 616 + 0 = 666.

It is a super-2 number, since 2×45095856086160² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45095856086167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107018602 + ... + 107439158.

It is an arithmetic number, because the mean of its divisors is an integer number (529653268548).

Almost surely, 2^{45095856086160} is an apocalyptic number.

45095856086160 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 45095856086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84744522967680).

45095856086160 is an abundant number, since it is smaller than the sum of its proper divisors (124393189849200).

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

45095856086160 is a wasteful number, since it uses less digits than its factorization.

45095856086160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425103 (or 425091 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 45095856086160 in words is "forty-five trillion, ninety-five billion, eight hundred fifty-six million, eighty-six thousand, one hundred sixty".