46563012015200 has 144 divisors (see below), whose sum is σ = 114381942368400. Its totient is φ = 18508898027520.

The previous prime is 46563012015193. The next prime is 46563012015229. The reversal of 46563012015200 is 251021036564.

It is a super-2 number, since 2×46563012015200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1845016982 + ... + 1845042218.

It is an arithmetic number, because the mean of its divisors is an integer number (794319044225).

Almost surely, 2^{46563012015200} is an apocalyptic number.

46563012015200 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 46563012015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57190971184200).

46563012015200 is an abundant number, since it is smaller than the sum of its proper divisors (67818930353200).

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

46563012015200 is a wasteful number, since it uses less digits than its factorization.

46563012015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39569 (or 39556 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 46563012015200 in words is "forty-six trillion, five hundred sixty-three billion, twelve million, fifteen thousand, two hundred".