47913413345280 has 4096 divisors, whose sum is σ = 220328460288000. Its totient is φ = 9631589990400.

The previous prime is 47913413345269. The next prime is 47913413345309. The reversal of 47913413345280 is 8254331431974.

47913413345280 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 3 + 4 + 13 + 345 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 674836807645 + ... + 674836807715.

It is an arithmetic number, because the mean of its divisors is an integer number (53791128000).

Almost surely, 2^{47913413345280} is an apocalyptic number.

47913413345280 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 47913413345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110164230144000).

47913413345280 is an abundant number, since it is smaller than the sum of its proper divisors (172415046942720).

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

47913413345280 is a wasteful number, since it uses less digits than its factorization.

47913413345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 47913413345280 in words is "forty-seven trillion, nine hundred thirteen billion, four hundred thirteen million, three hundred forty-five thousand, two hundred eighty".