4791160632384 has 945 divisors, whose sum is σ = 17083555414101. Its totient is φ = 1323829785600.

The previous prime is 4791160632347. The next prime is 4791160632407. The reversal of 4791160632384 is 4832360611974.

The square root of 4791160632384 is 2188872.

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

4791160632384 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 1 + 606 + 3 + 23 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4603290398784 + 187870233600 = 2145528^2 + 433440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4791160632384.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47437233934 + ... + 47437234034.

Almost surely, 2^{4791160632384} is an apocalyptic number.

4791160632384 is the 2188872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4791160632384

4791160632384 is an abundant number, since it is smaller than the sum of its proper divisors (12292394781717).

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

4791160632384 is an equidigital number, since it uses as much as digits as its factorization.

4791160632384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4791160632384 in words is "four trillion, seven hundred ninety-one billion, one hundred sixty million, six hundred thirty-two thousand, three hundred eighty-four".