45127002873600 has 1728 divisors, whose sum is σ = 192455832038400. Its totient is φ = 10263079157760.

The previous prime is 45127002873541. The next prime is 45127002873611. The reversal of 45127002873600 is 637820072154.

45127002873600 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 7 + 0 + 0 + 287 + 360 + 0 = 666.

45127002873600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1283713624 + ... + 1283748776.

It is an arithmetic number, because the mean of its divisors is an integer number (111374902800).

Almost surely, 2^{45127002873600} is an apocalyptic number.

45127002873600 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 45127002873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96227916019200).

45127002873600 is an abundant number, since it is smaller than the sum of its proper divisors (147328829164800).

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

45127002873600 is a wasteful number, since it uses less digits than its factorization.

45127002873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35247 (or 35222 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 45127002873600 in words is "forty-five trillion, one hundred twenty-seven billion, two million, eight hundred seventy-three thousand, six hundred".