47159046144 has 312 divisors, whose sum is σ = 157015572480. Its totient is φ = 13358628864.

The previous prime is 47159046139. The next prime is 47159046173. The reversal of 47159046144 is 44164095174.

47159046144 is a `hidden beast` number, since 4 + 7 + 1 + 590 + 46 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 47159046144.

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 23 ways as a sum of consecutive naturals, for example, 32771377 + ... + 32772815.

It is an arithmetic number, because the mean of its divisors is an integer number (503255040).

Almost surely, 2^47159046144 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 47159046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78507786240).

47159046144 is an abundant number, since it is smaller than the sum of its proper divisors (109856526336).

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

47159046144 is a wasteful number, since it uses less digits than its factorization.

47159046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1578 counting only the distinct ones).

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

The spelling of 47159046144 in words is "forty-seven billion, one hundred fifty-nine million, forty-six thousand, one hundred forty-four".