47791441152 has 1440 divisors, whose sum is σ = 195010027520. Its totient is φ = 11287019520.

The previous prime is 47791441147. The next prime is 47791441153. The reversal of 47791441152 is 25114419774.

47791441152 is a `hidden beast` number, since 4 + 77 + 91 + 441 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47791441098 and 47791441107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47791441153) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1111428843 + ... + 1111428885.

Almost surely, 2^47791441152 is an apocalyptic number.

47791441152 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 47791441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97505013760).

47791441152 is an abundant number, since it is smaller than the sum of its proper divisors (147218586368).

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

47791441152 is a wasteful number, since it uses less digits than its factorization.

47791441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 47791441152 in words is "forty-seven billion, seven hundred ninety-one million, four hundred forty-one thousand, one hundred fifty-two".