47018386800 has 720 divisors, whose sum is σ = 206380362240. Its totient is φ = 9628416000.

The previous prime is 47018386799. The next prime is 47018386813. The reversal of 47018386800 is 868381074.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19680006 + ... + 19682394.

It is an arithmetic number, because the mean of its divisors is an integer number (286639392).

Almost surely, 2^47018386800 is an apocalyptic number.

47018386800 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 47018386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103190181120).

47018386800 is an abundant number, since it is smaller than the sum of its proper divisors (159361975440).

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

47018386800 is a wasteful number, since it uses less digits than its factorization.

47018386800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 47018386800 in words is "forty-seven billion, eighteen million, three hundred eighty-six thousand, eight hundred".