46821187122600 has 768 divisors, whose sum is σ = 173285255819520. Its totient is φ = 10327832985600.

The previous prime is 46821187122533. The next prime is 46821187122623. The reversal of 46821187122600 is 622178112864.

It is a happy number.

46821187122600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46821187122600.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 651733882 + ... + 651805718.

It is an arithmetic number, because the mean of its divisors is an integer number (225631843515).

Almost surely, 2^{46821187122600} is an apocalyptic number.

46821187122600 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 46821187122600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86642627909760).

46821187122600 is an abundant number, since it is smaller than the sum of its proper divisors (126464068696920).

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

46821187122600 is a wasteful number, since it uses less digits than its factorization.

46821187122600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72078 (or 72069 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 46821187122600 in words is "forty-six trillion, eight hundred twenty-one billion, one hundred eighty-seven million, one hundred twenty-two thousand, six hundred".