48836580100 has 405 divisors, whose sum is σ = 139286735903. Its totient is φ = 14850528000.

The previous prime is 48836580083. The next prime is 48836580113. The reversal of 48836580100 is 108563884.

48836580100 = T₄₂ + T₄₃ + ... + T₆₆₄₁.

The square root of 48836580100 is 220990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20556103876 + 28280476224 = 143374^2 + 168168^2 .

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 1191136080 + ... + 1191136120.

Almost surely, 2^48836580100 is an apocalyptic number.

48836580100 is the 220990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48836580100

48836580100 is an abundant number, since it is smaller than the sum of its proper divisors (90450155803).

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

48836580100 is a wasteful number, since it uses less digits than its factorization.

48836580100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 48836580100 in words is "forty-eight billion, eight hundred thirty-six million, five hundred eighty thousand, one hundred".