46571728330080 has 384 divisors, whose sum is σ = 171622071129600. Its totient is φ = 11762607974400.

The previous prime is 46571728330051. The next prime is 46571728330081. The reversal of 46571728330080 is 8003382717564.

It is a happy number.

46571728330080 is a `hidden beast` number, since 4 + 6 + 57 + 1 + 7 + 283 + 300 + 8 + 0 = 666.

46571728330080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46571728329999 and 46571728330026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46571728330081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 345571510 + ... + 345706250.

It is an arithmetic number, because the mean of its divisors is an integer number (446932476900).

Almost surely, 2^{46571728330080} is an apocalyptic number.

46571728330080 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 46571728330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85811035564800).

46571728330080 is an abundant number, since it is smaller than the sum of its proper divisors (125050342799520).

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

46571728330080 is a wasteful number, since it uses less digits than its factorization.

46571728330080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138995 (or 138981 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 46571728330080 in words is "forty-six trillion, five hundred seventy-one billion, seven hundred twenty-eight million, three hundred thirty thousand, eighty".