45127432316880 has 240 divisors, whose sum is σ = 155934248486016. Its totient is φ = 11689180554240.

The previous prime is 45127432316851. The next prime is 45127432316899. The reversal of 45127432316880 is 8861323472154.

45127432316880 is a `hidden beast` number, since 4 + 5 + 1 + 274 + 3 + 231 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1577229 + ... + 9630291.

Almost surely, 2^{45127432316880} is an apocalyptic number.

45127432316880 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 45127432316880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77967124243008).

45127432316880 is an abundant number, since it is smaller than the sum of its proper divisors (110806816169136).

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

45127432316880 is a wasteful number, since it uses less digits than its factorization.

45127432316880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053306 (or 8053297 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 45127432316880 in words is "forty-five trillion, one hundred twenty-seven billion, four hundred thirty-two million, three hundred sixteen thousand, eight hundred eighty".