47311632000 has 384 divisors, whose sum is σ = 171642903120. Its totient is φ = 12487680000.

The previous prime is 47311631989. The next prime is 47311632007. The reversal of 47311632000 is 23611374.

It can be written as a sum of positive squares in 8 ways, for example, as 25787221056 + 21524410944 = 160584^2 + 146712^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (47311632007) 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, 14542374 + ... + 14545626.

Almost surely, 2^47311632000 is an apocalyptic number.

47311632000 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 47311632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85821451560).

47311632000 is an abundant number, since it is smaller than the sum of its proper divisors (124331271120).

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

47311632000 is a wasteful number, since it uses less digits than its factorization.

47311632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 47311632000 in words is "forty-seven billion, three hundred eleven million, six hundred thirty-two thousand".