46528472142800 has 120 divisors (see below), whose sum is σ = 114171987739392. Its totient is φ = 18213976000000.

The previous prime is 46528472142793. The next prime is 46528472142829. The reversal of 46528472142800 is 824127482564.

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 23 ways as a sum of consecutive naturals, for example, 258428810 + ... + 258608790.

Almost surely, 2^{46528472142800} is an apocalyptic number.

46528472142800 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 46528472142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57085993869696).

46528472142800 is an abundant number, since it is smaller than the sum of its proper divisors (67643515596592).

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

46528472142800 is a wasteful number, since it uses less digits than its factorization.

46528472142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193797 (or 193786 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 53.

The spelling of 46528472142800 in words is "forty-six trillion, five hundred twenty-eight billion, four hundred seventy-two million, one hundred forty-two thousand, eight hundred".