47448293648832 has 420 divisors, whose sum is σ = 144288324916296. Its totient is φ = 15412515148800.

The previous prime is 47448293648803. The next prime is 47448293648893. The reversal of 47448293648832 is 23884639284474.

47448293648832 is a `hidden beast` number, since 4 + 7 + 4 + 4 + 82 + 9 + 36 + 488 + 32 = 666.

It is a super-3 number, since 3×47448293648832³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40798188283 + ... + 40798189445.

Almost surely, 2^{47448293648832} 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 47448293648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72144162458148).

47448293648832 is an abundant number, since it is smaller than the sum of its proper divisors (96840031267464).

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

47448293648832 is an equidigital number, since it uses as much as digits as its factorization.

47448293648832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 1336 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 72.

The spelling of 47448293648832 in words is "forty-seven trillion, four hundred forty-eight billion, two hundred ninety-three million, six hundred forty-eight thousand, eight hundred thirty-two".