47825254337328 has 120 divisors (see below), whose sum is σ = 144167608199888. Its totient is φ = 14712644583936.

The previous prime is 47825254337269. The next prime is 47825254337417. The reversal of 47825254337328 is 82373345252874.

47825254337328 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 5 + 254 + 3 + 373 + 2 + 8 = 666.

It is a super-2 number, since 2×47825254337328² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7341126 + ... + 12228762.

Almost surely, 2^{47825254337328} is an apocalyptic number.

47825254337328 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 47825254337328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72083804099944).

47825254337328 is an abundant number, since it is smaller than the sum of its proper divisors (96342353862560).

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

47825254337328 is a wasteful number, since it uses less digits than its factorization.

47825254337328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892891 (or 4892882 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 63.

The spelling of 47825254337328 in words is "forty-seven trillion, eight hundred twenty-five billion, two hundred fifty-four million, three hundred thirty-seven thousand, three hundred twenty-eight".