47631316516 has 135 divisors (see below), whose sum is σ = 104092602257. Its totient is φ = 19065970560.

The previous prime is 47631316501. The next prime is 47631316519. The reversal of 47631316516 is 61561313674.

It is a happy number.

The square root of 47631316516 is 218246.

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., 37083204900 + 10548111616 = 192570^2 + 102704^2 .

It is not an unprimeable number, because it can be changed into a prime (47631316519) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 363597771 + ... + 363597901.

Almost surely, 2^47631316516 is an apocalyptic number.

47631316516 is the 218246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47631316516

47631316516 is an abundant number, since it is smaller than the sum of its proper divisors (56461285741).

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

47631316516 is an equidigital number, since it uses as much as digits as its factorization.

47631316516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 157 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The spelling of 47631316516 in words is "forty-seven billion, six hundred thirty-one million, three hundred sixteen thousand, five hundred sixteen".