47611413200 has 120 divisors (see below), whose sum is σ = 123270552888. Its totient is φ = 17567447040.

The previous prime is 47611413197. The next prime is 47611413217. The reversal of 47611413200 is 231411674.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 15844767376 + 31766645824 = 125876^2 + 178232^2 .

It is a super-2 number, since 2×47611413200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11630354 + ... + 11634446.

Almost surely, 2^47611413200 is an apocalyptic number.

47611413200 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 47611413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61635276444).

47611413200 is an abundant number, since it is smaller than the sum of its proper divisors (75659139688).

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

47611413200 is a wasteful number, since it uses less digits than its factorization.

47611413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 47611413200 its reverse (231411674), we get a palindrome (47842824874).

The spelling of 47611413200 in words is "forty-seven billion, six hundred eleven million, four hundred thirteen thousand, two hundred".