47961438001 has 3 divisors (see below), whose sum is σ = 47961657003. Its totient is φ = 47961219000.

The previous prime is 47961437963. The next prime is 47961438017. The reversal of 47961438001 is 10083416974.

The square root of 47961438001 is 219001.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1615959601 + 46345478400 = 40199^2 + 215280^2 .

It is not a de Polignac number, because 47961438001 - 2¹⁹ = 47960913713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47961438401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 109501 + ... + 328501.

It is an arithmetic number, because the mean of its divisors is an integer number (15987219001).

Almost surely, 2^47961438001 is an apocalyptic number.

47961438001 is the 219001-st square number.

47961438001 is the 109501-st centered octagonal number.

It is an amenable number.

47961438001 is a deficient number, since it is larger than the sum of its proper divisors (219002).

47961438001 is an frugal number, since it uses more digits than its factorization.

47961438001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438002 (or 219001 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 47961438001 in words is "forty-seven billion, nine hundred sixty-one million, four hundred thirty-eight thousand, one".