47168548473344 has 120 divisors (see below), whose sum is σ = 100162076530428. Its totient is φ = 22186504355840.

The previous prime is 47168548473341. The next prime is 47168548473373. The reversal of 47168548473344 is 44337484586174.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17434299193600 + 29734249279744 = 4175440^2 + 5452912^2 .

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (47168548473341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318501074 + ... + 318649134.

Almost surely, 2^{47168548473344} 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 47168548473344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50081038265214).

47168548473344 is an abundant number, since it is smaller than the sum of its proper divisors (52993528057084).

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

47168548473344 is a wasteful number, since it uses less digits than its factorization.

47168548473344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150266 (or 150233 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 68.

The spelling of 47168548473344 in words is "forty-seven trillion, one hundred sixty-eight billion, five hundred forty-eight million, four hundred seventy-three thousand, three hundred forty-four".