46127809728 has 756 divisors, whose sum is σ = 182236323360. Its totient is φ = 11048970240.

The previous prime is 46127809709. The next prime is 46127809751. The reversal of 46127809728 is 82790872164.

It is a happy number.

46127809728 is a `hidden beast` number, since 461 + 2 + 78 + 0 + 97 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44395833 + ... + 44396871.

Almost surely, 2^46127809728 is an apocalyptic number.

46127809728 is a gapful number since it is divisible by the number (48) 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 46127809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91118161680).

46127809728 is an abundant number, since it is smaller than the sum of its proper divisors (136108513632).

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

46127809728 is a wasteful number, since it uses less digits than its factorization.

46127809728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 46127809728 in words is "forty-six billion, one hundred twenty-seven million, eight hundred nine thousand, seven hundred twenty-eight".