47135104012944 has 640 divisors, whose sum is σ = 150542364672000. Its totient is φ = 14052848025600.

The previous prime is 47135104012921. The next prime is 47135104012967. The reversal of 47135104012944 is 44921040153174.

47135104012944 is a `hidden beast` number, since 4 + 7 + 1 + 3 + 510 + 4 + 0 + 129 + 4 + 4 = 666.

47135104012944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47135104012921) and next prime (47135104012967).

It is a super-2 number, since 2×47135104012944² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47135104012944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23116773877 + ... + 23116775915.

It is an arithmetic number, because the mean of its divisors is an integer number (235222444800).

Almost surely, 2^{47135104012944} 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 47135104012944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75271182336000).

47135104012944 is an abundant number, since it is smaller than the sum of its proper divisors (103407260659056).

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

47135104012944 is a wasteful number, since it uses less digits than its factorization.

47135104012944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47135104012944 in words is "forty-seven trillion, one hundred thirty-five billion, one hundred four million, twelve thousand, nine hundred forty-four".