47216028017664 has 891 divisors, whose sum is σ = 156260270013393. Its totient is φ = 14248518451200.

The previous prime is 47216028017581. The next prime is 47216028017677. The reversal of 47216028017664 is 46671082061274.

The square root of 47216028017664 is 6871392.

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

47216028017664 is a `hidden beast` number, since 4 + 7 + 21 + 602 + 8 + 0 + 1 + 7 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35509776344064 + 11706251673600 = 5959008^2 + 3421440^2 .

It is a tau number, because it is divible by the number of its divisors (891).

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 47216028017664.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 195917128584 + ... + 195917128824.

Almost surely, 2^{47216028017664} is an apocalyptic number.

47216028017664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

47216028017664 is the 6871392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47216028017664

47216028017664 is an abundant number, since it is smaller than the sum of its proper divisors (109044241995729).

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

47216028017664 is an frugal number, since it uses more digits than its factorization.

47216028017664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 47216028017664 in words is "forty-seven trillion, two hundred sixteen billion, twenty-eight million, seventeen thousand, six hundred sixty-four".