47914672176 has 320 divisors, whose sum is σ = 168060672000. Its totient is φ = 12758114304.

The previous prime is 47914672171. The next prime is 47914672213. The reversal of 47914672176 is 67127641974.

It is a happy number.

47914672176 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 467 + 2 + 176 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (47914672171) 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 63 ways as a sum of consecutive naturals, for example, 5290500 + ... + 5299548.

It is an arithmetic number, because the mean of its divisors is an integer number (525189600).

Almost surely, 2^47914672176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47914672176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84030336000).

47914672176 is an abundant number, since it is smaller than the sum of its proper divisors (120145999824).

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

47914672176 is a wasteful number, since it uses less digits than its factorization.

47914672176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193 (or 9181 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 47914672176 in words is "forty-seven billion, nine hundred fourteen million, six hundred seventy-two thousand, one hundred seventy-six".