47229811200 has 1440 divisors, whose sum is σ = 206121307392. Its totient is φ = 10174464000.

The previous prime is 47229811183. The next prime is 47229811201. The reversal of 47229811200 is 211892274.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47229811201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 774259170 + ... + 774259230.

Almost surely, 2^47229811200 is an apocalyptic number.

47229811200 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 47229811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103060653696).

47229811200 is an abundant number, since it is smaller than the sum of its proper divisors (158891496192).

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

47229811200 is a wasteful number, since it uses less digits than its factorization.

47229811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 47229811200 in words is "forty-seven billion, two hundred twenty-nine million, eight hundred eleven thousand, two hundred".