45417141176 has 128 divisors (see below), whose sum is σ = 99976343040. Its totient is φ = 19136832000.

The previous prime is 45417141157. The next prime is 45417141223. The reversal of 45417141176 is 67114171454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8901026 + ... + 8906126.

It is an arithmetic number, because the mean of its divisors is an integer number (781065180).

Almost surely, 2^45417141176 is an apocalyptic number.

45417141176 is a gapful number since it is divisible by the number (46) 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 45417141176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49988171520).

45417141176 is an abundant number, since it is smaller than the sum of its proper divisors (54559201864).

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

45417141176 is a wasteful number, since it uses less digits than its factorization.

45417141176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5277 (or 5273 counting only the distinct ones).

The product of its digits is 94080, while the sum is 41.

The spelling of 45417141176 in words is "forty-five billion, four hundred seventeen million, one hundred forty-one thousand, one hundred seventy-six".