45182556160 has 384 divisors, whose sum is σ = 128899330560. Its totient is φ = 14880079872.

The previous prime is 45182556113. The next prime is 45182556161. The reversal of 45182556160 is 6165528154.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45182556161) by changing a digit.

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, 329799612 + ... + 329799748.

It is an arithmetic number, because the mean of its divisors is an integer number (335675340).

Almost surely, 2^45182556160 is an apocalyptic number.

45182556160 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 45182556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64449665280).

45182556160 is an abundant number, since it is smaller than the sum of its proper divisors (83716774400).

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

45182556160 is a wasteful number, since it uses less digits than its factorization.

45182556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 45182556160 in words is "forty-five billion, one hundred eighty-two million, five hundred fifty-six thousand, one hundred sixty".