47845170616320 has 4608 divisors, whose sum is σ = 233731338946560. Its totient is φ = 9081213419520.

The previous prime is 47845170616319. The next prime is 47845170616363. The reversal of 47845170616320 is 2361607154874.

47845170616320 is a `hidden beast` number, since 4 + 7 + 8 + 4 + 5 + 17 + 0 + 616 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 120516802362 + ... + 120516802758.

It is an arithmetic number, because the mean of its divisors is an integer number (50722946820).

Almost surely, 2^{47845170616320} is an apocalyptic number.

47845170616320 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 47845170616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116865669473280).

47845170616320 is an abundant number, since it is smaller than the sum of its proper divisors (185886168330240).

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

47845170616320 is a wasteful number, since it uses less digits than its factorization.

47845170616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 47845170616320 in words is "forty-seven trillion, eight hundred forty-five billion, one hundred seventy million, six hundred sixteen thousand, three hundred twenty".