46472545566720 has 4608 divisors, whose sum is σ = 225484922880000. Its totient is φ = 8989483991040.

The previous prime is 46472545566719. The next prime is 46472545566793. The reversal of 46472545566720 is 2766554527464.

46472545566720 is a `hidden beast` number, since 4 + 6 + 4 + 7 + 2 + 5 + 4 + 556 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1499114373105 + ... + 1499114373135.

It is an arithmetic number, because the mean of its divisors is an integer number (48933360000).

Almost surely, 2^{46472545566720} is an apocalyptic number.

46472545566720 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 46472545566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112742461440000).

46472545566720 is an abundant number, since it is smaller than the sum of its proper divisors (179012377313280).

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

46472545566720 is an equidigital number, since it uses as much as digits as its factorization.

46472545566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 63.

The spelling of 46472545566720 in words is "forty-six trillion, four hundred seventy-two billion, five hundred forty-five million, five hundred sixty-six thousand, seven hundred twenty".