47445811200 has 252 divisors, whose sum is σ = 169957667958. Its totient is φ = 12651724800.

The previous prime is 47445811199. The next prime is 47445811201. The reversal of 47445811200 is 211854474.

It is a happy number.

47445811200 is a `hidden beast` number, since 4 + 7 + 445 + 8 + 1 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (47445811199) and next prime (47445811201).

It can be written as a sum of positive squares in 3 ways, for example, as 39337168896 + 8108642304 = 198336^2 + 90048^2 .

It is a super-2 number, since 2×47445811200² (a number of 22 digits) contains 22 as substring.

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 (47445811201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1830330 + ... + 1856070.

Almost surely, 2^47445811200 is an apocalyptic number.

47445811200 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 47445811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84978833979).

47445811200 is an abundant number, since it is smaller than the sum of its proper divisors (122511856758).

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

47445811200 is a wasteful number, since it uses less digits than its factorization.

47445811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25783 (or 25751 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 47445811200 in words is "forty-seven billion, four hundred forty-five million, eight hundred eleven thousand, two hundred".