47990371106496 has 336 divisors, whose sum is σ = 162946685149920. Its totient is φ = 12348097413120.

The previous prime is 47990371106477. The next prime is 47990371106497. The reversal of 47990371106496 is 69460117309974.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×47990371106496³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (47990371106497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229270 + ... + 9799658.

It is an arithmetic number, because the mean of its divisors is an integer number (484960372470).

Almost surely, 2^{47990371106496} 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 47990371106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81473342574960).

47990371106496 is an abundant number, since it is smaller than the sum of its proper divisors (114956314043424).

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

47990371106496 is a wasteful number, since it uses less digits than its factorization.

47990371106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9570472 (or 9570455 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 66.

The spelling of 47990371106496 in words is "forty-seven trillion, nine hundred ninety billion, three hundred seventy-one million, one hundred six thousand, four hundred ninety-six".