47302404323328 has 2016 divisors, whose sum is σ = 184276070858880. Its totient is φ = 11991831183360.

The previous prime is 47302404323231. The next prime is 47302404323329. The reversal of 47302404323328 is 82332340420374.

47302404323328 is a `hidden beast` number, since 4 + 7 + 3 + 0 + 2 + 404 + 3 + 233 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47302404323329) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 34603074901 + ... + 34603076267.

It is an arithmetic number, because the mean of its divisors is an integer number (91406781180).

Almost surely, 2^{47302404323328} is an apocalyptic number.

47302404323328 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 47302404323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92138035429440).

47302404323328 is an abundant number, since it is smaller than the sum of its proper divisors (136973666535552).

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

47302404323328 is a wasteful number, since it uses less digits than its factorization.

47302404323328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

The spelling of 47302404323328 in words is "forty-seven trillion, three hundred two billion, four hundred four million, three hundred twenty-three thousand, three hundred twenty-eight".