47648777796 has 135 divisors (see below), whose sum is σ = 127152699597. Its totient is φ = 15559426080.

The previous prime is 47648777791. The next prime is 47648777797. The reversal of 47648777796 is 69777784674.

The square root of 47648777796 is 218286.

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

47648777796 is a `hidden beast` number, since 4 + 7 + 6 + 487 + 77 + 79 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 525051396 + 47123726400 = 22914^2 + 217080^2 .

Its product of digits (697019904) is a multiple of the sum of its prime factors (512).

It is not an unprimeable number, because it can be changed into a prime (47648777791) 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, 263252826 + ... + 263253006.

Almost surely, 2^47648777796 is an apocalyptic number.

47648777796 is the 218286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47648777796

47648777796 is an abundant number, since it is smaller than the sum of its proper divisors (79503921801).

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

47648777796 is an equidigital number, since it uses as much as digits as its factorization.

47648777796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 253 counting only the distinct ones).

The product of its digits is 697019904, while the sum is 72.

The spelling of 47648777796 in words is "forty-seven billion, six hundred forty-eight million, seven hundred seventy-seven thousand, seven hundred ninety-six".