47338940908900 has 81 divisors (see below), whose sum is σ = 104964824134009. Its totient is φ = 18531425779360.

The previous prime is 47338940908877. The next prime is 47338940908901. The reversal of 47338940908900 is 980904983374.

The square root of 47338940908900 is 6880330.

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

It can be written as a sum of positive squares in only one way, i.e., 17042018727204 + 30296922181696 = 4128198^2 + 5504264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47338940908901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3233747781 + ... + 3233762419.

Almost surely, 2^{47338940908900} is an apocalyptic number.

47338940908900 is the 6880330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47338940908900

47338940908900 is an abundant number, since it is smaller than the sum of its proper divisors (57625883225109).

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

47338940908900 is an frugal number, since it uses more digits than its factorization.

47338940908900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29386 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

The spelling of 47338940908900 in words is "forty-seven trillion, three hundred thirty-eight billion, nine hundred forty million, nine hundred eight thousand, nine hundred".