47923200000000 has 1134 divisors, whose sum is σ = 186367815712442. Its totient is φ = 11796480000000.

The previous prime is 47923199999993. The next prime is 47923200000007. The reversal of 47923200000000 is 232974.

It is an interprime number because it is at equal distance from previous prime (47923199999993) and next prime (47923200000007).

It can be written as a sum of positive squares in 9 ways, for example, as 7797765832704 + 40125434167296 = 2792448^2 + 6334464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47923200000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47923200000007) 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 53 ways as a sum of consecutive naturals, for example, 3686399999994 + ... + 3686400000006.

Almost surely, 2^{47923200000000} is an apocalyptic number.

47923200000000 is a gapful number since it is divisible by the number (40) 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 47923200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93183907856221).

47923200000000 is an abundant number, since it is smaller than the sum of its proper divisors (138444615712442).

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

47923200000000 is an frugal number, since it uses more digits than its factorization.

47923200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 47923200000000 its reverse (232974), we get a palindrome (47923200232974).

The spelling of 47923200000000 in words is "forty-seven trillion, nine hundred twenty-three billion, two hundred million", and thus it is an aban number.