63116512900 has 243 divisors, whose sum is σ = 165452060781. Its totient is φ = 20838021120.

The previous prime is 63116512873. The next prime is 63116512903. The reversal of 63116512900 is 921561136.

The square root of 63116512900 is 251230.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15759789444 + 47356723456 = 125538^2 + 217616^2 .

It is not an unprimeable number, because it can be changed into a prime (63116512903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 650685652 + ... + 650685748.

Almost surely, 2^63116512900 is an apocalyptic number.

63116512900 is the 251230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63116512900

63116512900 is an abundant number, since it is smaller than the sum of its proper divisors (102335547881).

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

63116512900 is a wasteful number, since it uses less digits than its factorization.

63116512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 63116512900 in words is "sixty-three billion, one hundred sixteen million, five hundred twelve thousand, nine hundred".