47778965056 has 63 divisors (see below), whose sum is σ = 96202008129. Its totient is φ = 23544119808.

The previous prime is 47778964963. The next prime is 47778965057. The reversal of 47778965056 is 65056987774.

The square root of 47778965056 is 218584.

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., 9174574656 + 38604390400 = 95784^2 + 196480^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47778965057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155631655 + ... + 155631961.

Almost surely, 2^47778965056 is an apocalyptic number.

47778965056 is the 218584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47778965056

47778965056 is an abundant number, since it is smaller than the sum of its proper divisors (48423043073).

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

47778965056 is an frugal number, since it uses more digits than its factorization.

47778965056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 64.

Multiplying 47778965056 by its sum of digits (64), we get a square (3057853763584 = 1748672²).

47778965056 divided by its sum of digits (64) gives a square (746546329 = 27323²).

The spelling of 47778965056 in words is "forty-seven billion, seven hundred seventy-eight million, nine hundred sixty-five thousand, fifty-six".