46285199011800 has 864 divisors, whose sum is σ = 191723562969120. Its totient is φ = 9943221657600.

The previous prime is 46285199011781. The next prime is 46285199011813. The reversal of 46285199011800 is 811099158264.

46285199011800 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 519 + 9 + 0 + 118 + 0 + 0 = 666.

46285199011800 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 1090042570 + ... + 1090085030.

It is an arithmetic number, because the mean of its divisors is an integer number (221902271955).

Almost surely, 2^{46285199011800} is an apocalyptic number.

46285199011800 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 46285199011800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95861781484560).

46285199011800 is an abundant number, since it is smaller than the sum of its proper divisors (145438363957320).

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

46285199011800 is a wasteful number, since it uses less digits than its factorization.

46285199011800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43241 (or 43222 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 46285199011800 in words is "forty-six trillion, two hundred eighty-five billion, one hundred ninety-nine million, eleven thousand, eight hundred".