47517973106688 has 624 divisors, whose sum is σ = 164853252843136. Its totient is φ = 12902317424640.

The previous prime is 47517973106671. The next prime is 47517973106717. The reversal of 47517973106688 is 88660137971574.

47517973106688 is a `hidden beast` number, since 4 + 7 + 5 + 179 + 7 + 310 + 66 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 410496498 + ... + 410612238.

Almost surely, 2^{47517973106688} is an apocalyptic number.

47517973106688 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 47517973106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82426626421568).

47517973106688 is an abundant number, since it is smaller than the sum of its proper divisors (117335279736448).

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

47517973106688 is a wasteful number, since it uses less digits than its factorization.

47517973106688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115858 (or 115833 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 47517973106688 in words is "forty-seven trillion, five hundred seventeen billion, nine hundred seventy-three million, one hundred six thousand, six hundred eighty-eight".