47103568512 has 1024 divisors, whose sum is σ = 178982092800. Its totient is φ = 10583654400.

The previous prime is 47103568423. The next prime is 47103568513. The reversal of 47103568512 is 21586530174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (47103568513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 703038303 + ... + 703038369.

It is an arithmetic number, because the mean of its divisors is an integer number (174787200).

Almost surely, 2^47103568512 is an apocalyptic number.

47103568512 is a gapful number since it is divisible by the number (42) 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 47103568512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89491046400).

47103568512 is an abundant number, since it is smaller than the sum of its proper divisors (131878524288).

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

47103568512 is a wasteful number, since it uses less digits than its factorization.

47103568512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 47103568512 in words is "forty-seven billion, one hundred three million, five hundred sixty-eight thousand, five hundred twelve".