47175242003328 has 128 divisors (see below), whose sum is σ = 126262730240640. Its totient is φ = 15605879040000.

The previous prime is 47175242003261. The next prime is 47175242003387. The reversal of 47175242003328 is 82330024257174.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25814883 + ... + 27581853.

It is an arithmetic number, because the mean of its divisors is an integer number (986427580005).

Almost surely, 2^{47175242003328} is an apocalyptic number.

47175242003328 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 47175242003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63131365120320).

47175242003328 is an abundant number, since it is smaller than the sum of its proper divisors (79087488237312).

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

47175242003328 is a wasteful number, since it uses less digits than its factorization.

47175242003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767516 (or 1767504 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 47175242003328 in words is "forty-seven trillion, one hundred seventy-five billion, two hundred forty-two million, three thousand, three hundred twenty-eight".