47789457664 has 81 divisors (see below), whose sum is σ = 103392928989. Its totient is φ = 22035686400.

The previous prime is 47789457589. The next prime is 47789457671. The reversal of 47789457664 is 46675498774.

The square root of 47789457664 is 218608.

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., 7069446400 + 40720011264 = 84080^2 + 201792^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 47789457664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45469939 + ... + 45470989.

Almost surely, 2^47789457664 is an apocalyptic number.

47789457664 is the 218608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47789457664

47789457664 is an abundant number, since it is smaller than the sum of its proper divisors (55603471325).

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

47789457664 is an frugal number, since it uses more digits than its factorization.

47789457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 1066 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 67.

The spelling of 47789457664 in words is "forty-seven billion, seven hundred eighty-nine million, four hundred fifty-seven thousand, six hundred sixty-four".