47305770123216 has 320 divisors, whose sum is σ = 137828878387200. Its totient is φ = 13856881920000.

The previous prime is 47305770123191. The next prime is 47305770123217. The reversal of 47305770123216 is 61232107750374.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47305770123217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8761947685 + ... + 8761953083.

It is an arithmetic number, because the mean of its divisors is an integer number (430715244960).

Almost surely, 2^{47305770123216} 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 47305770123216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68914439193600).

47305770123216 is an abundant number, since it is smaller than the sum of its proper divisors (90523108263984).

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

47305770123216 is a wasteful number, since it uses less digits than its factorization.

47305770123216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9386 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 47305770123216 in words is "forty-seven trillion, three hundred five billion, seven hundred seventy million, one hundred twenty-three thousand, two hundred sixteen".