47963138832 has 240 divisors, whose sum is σ = 164778640000. Its totient is φ = 12982249728.

The previous prime is 47963138767. The next prime is 47963138833. The reversal of 47963138832 is 23883136974.

47963138832 is a `hidden beast` number, since 479 + 6 + 3 + 138 + 8 + 32 = 666.

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 (47963138833) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 912894 + ... + 964002.

Almost surely, 2^47963138832 is an apocalyptic number.

47963138832 is a gapful number since it is divisible by the number (42) 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 47963138832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82389320000).

47963138832 is an abundant number, since it is smaller than the sum of its proper divisors (116815501168).

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

47963138832 is a wasteful number, since it uses less digits than its factorization.

47963138832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51163 (or 51140 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 47963138832 in words is "forty-seven billion, nine hundred sixty-three million, one hundred thirty-eight thousand, eight hundred thirty-two".