47994391874304 has 648 divisors, whose sum is σ = 143621192332800. Its totient is φ = 15411260067840.

The previous prime is 47994391874267. The next prime is 47994391874333. The reversal of 47994391874304 is 40347819349974.

47994391874304 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 4 + 3 + 9 + 187 + 430 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133689113677 + ... + 133689114035.

Almost surely, 2^{47994391874304} 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 47994391874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71810596166400).

47994391874304 is an abundant number, since it is smaller than the sum of its proper divisors (95626800458496).

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

47994391874304 is a wasteful number, since it uses less digits than its factorization.

47994391874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 47994391874304 in words is "forty-seven trillion, nine hundred ninety-four billion, three hundred ninety-one million, eight hundred seventy-four thousand, three hundred four".