47905979311296 has 672 divisors, whose sum is σ = 146964235204800. Its totient is φ = 15296543539200.

The previous prime is 47905979311283. The next prime is 47905979311321. The reversal of 47905979311296 is 69211397950974.

47905979311296 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 597 + 9 + 3 + 1 + 1 + 29 + 6 = 666.

It is a super-3 number, since 3×47905979311296³ (a number of 42 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 47291193286 + ... + 47291194298.

Almost surely, 2^{47905979311296} 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 47905979311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73482117602400).

47905979311296 is an abundant number, since it is smaller than the sum of its proper divisors (99058255893504).

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

47905979311296 is a wasteful number, since it uses less digits than its factorization.

47905979311296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 231472080, while the sum is 72.

The spelling of 47905979311296 in words is "forty-seven trillion, nine hundred five billion, nine hundred seventy-nine million, three hundred eleven thousand, two hundred ninety-six".