47045881000000 has 343 divisors, whose sum is σ = 123177362899417. Its totient is φ = 17827912800000.

The previous prime is 47045880999967. The next prime is 47045881000003. The reversal of 47045881000000 is 18854074.

The square root of 47045881000000 is 6859000.

The cubic root of 47045881000000 is 36100.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 41216708160576 + 5829172839424 = 6420024^2 + 2414368^2 .

It is a super-2 number, since 2×47045881000000² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47045881000003) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 2476098999991 + ... + 2476099000009.

Almost surely, 2^{47045881000000} is an apocalyptic number.

47045881000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47045881000000 is the 6859000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47045881000000

47045881000000 is an abundant number, since it is smaller than the sum of its proper divisors (76131481899417).

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

47045881000000 is an frugal number, since it uses more digits than its factorization.

47045881000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

Adding to 47045881000000 its reverse (18854074), we get a palindrome (47045899854074).

The spelling of 47045881000000 in words is "forty-seven trillion, forty-five billion, eight hundred eighty-one million", and thus it is an aban number.