48787766310976 has 1701 divisors, whose sum is σ = 142367834557767. Its totient is φ = 16522182082560.

The previous prime is 48787766310973. The next prime is 48787766310977. The reversal of 48787766310976 is 67901366778784.

The square root of 48787766310976 is 6984824.

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

48787766310976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4822591681600 + 43965174629376 = 2196040^2 + 6630624^2 .

It is a super-2 number, since 2×48787766310976² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48787766310896 and 48787766310905.

It is not an unprimeable number, because it can be changed into a prime (48787766310973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1682336769330 + ... + 1682336769358.

Almost surely, 2^{48787766310976} is an apocalyptic number.

48787766310976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

48787766310976 is the 6984824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48787766310976

48787766310976 is an abundant number, since it is smaller than the sum of its proper divisors (93580068246791).

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

48787766310976 is a wasteful number, since it uses less digits than its factorization.

48787766310976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3584673792, while the sum is 79.

The spelling of 48787766310976 in words is "forty-eight trillion, seven hundred eighty-seven billion, seven hundred sixty-six million, three hundred ten thousand, nine hundred seventy-six".