47161164600 has 480 divisors, whose sum is σ = 179414231040. Its totient is φ = 11386656000.

The previous prime is 47161164569. The next prime is 47161164629. The reversal of 47161164600 is 646116174.

It is a happy number.

47161164600 is a `hidden beast` number, since 4 + 7 + 1 + 6 + 1 + 1 + 646 + 0 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 68250255 + ... + 68250945.

It is an arithmetic number, because the mean of its divisors is an integer number (373779648).

Almost surely, 2^47161164600 is an apocalyptic number.

47161164600 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 47161164600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89707115520).

47161164600 is an abundant number, since it is smaller than the sum of its proper divisors (132253066440).

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

47161164600 is a wasteful number, since it uses less digits than its factorization.

47161164600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 47161164600 in words is "forty-seven billion, one hundred sixty-one million, one hundred sixty-four thousand, six hundred".