47894969888832 has 448 divisors, whose sum is σ = 144411879628800. Its totient is φ = 13877360640000.

The previous prime is 47894969888807. The next prime is 47894969888837. The reversal of 47894969888832 is 23888896949874.

It is a Harshad number since it is a multiple of its sum of digits (93).

It is not an unprimeable number, because it can be changed into a prime (47894969888837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11822997207 + ... + 11823001257.

It is an arithmetic number, because the mean of its divisors is an integer number (322347945600).

Almost surely, 2^{47894969888832} 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 47894969888832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72205939814400).

47894969888832 is an abundant number, since it is smaller than the sum of its proper divisors (96516909739968).

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

47894969888832 is a wasteful number, since it uses less digits than its factorization.

47894969888832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6216 counting only the distinct ones).

The product of its digits is 96315899904, while the sum is 93.

The spelling of 47894969888832 in words is "forty-seven trillion, eight hundred ninety-four billion, nine hundred sixty-nine million, eight hundred eighty-eight thousand, eight hundred thirty-two".