47911115564928 has 4320 divisors, whose sum is σ = 205333352421120. Its totient is φ = 11008606371840.

The previous prime is 47911115564867. The next prime is 47911115565011. The reversal of 47911115564928 is 82946551111974.

47911115564928 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 1 + 11 + 556 + 49 + 28 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 539 ways as a sum of consecutive naturals, for example, 377252878401 + ... + 377252878527.

It is an arithmetic number, because the mean of its divisors is an integer number (47530868616).

Almost surely, 2^{47911115564928} is an apocalyptic number.

47911115564928 is a gapful number since it is divisible by the number (48) 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 47911115564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102666676210560).

47911115564928 is an abundant number, since it is smaller than the sum of its proper divisors (157422236856192).

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

47911115564928 is a wasteful number, since it uses less digits than its factorization.

47911115564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 186 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 47911115564928 in words is "forty-seven trillion, nine hundred eleven billion, one hundred fifteen million, five hundred sixty-four thousand, nine hundred twenty-eight".