47081573952 has 560 divisors, whose sum is σ = 154903456512. Its totient is φ = 12602204160.

The previous prime is 47081573923. The next prime is 47081574013. The reversal of 47081573952 is 25937518074.

47081573952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47081573895 and 47081573904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 888331558 + ... + 888331610.

Almost surely, 2^47081573952 is an apocalyptic number.

47081573952 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 47081573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77451728256).

47081573952 is an abundant number, since it is smaller than the sum of its proper divisors (107821882560).

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

47081573952 is an equidigital number, since it uses as much as digits as its factorization.

47081573952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 47081573952 in words is "forty-seven billion, eighty-one million, five hundred seventy-three thousand, nine hundred fifty-two".