48206498748100 has 729 divisors, whose sum is σ = 136742157842157. Its totient is φ = 14697132912000.

The previous prime is 48206498748059. The next prime is 48206498748169. The reversal of 48206498748100 is 184789460284.

The square root of 48206498748100 is 6943090.

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., 17354339549316 + 30852159198784 = 4165854^2 + 5554472^2 .

It is a super-2 number, since 2×48206498748100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 379578730237 + ... + 379578730363.

Almost surely, 2^{48206498748100} is an apocalyptic number.

48206498748100 is the 6943090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48206498748100

48206498748100 is an abundant number, since it is smaller than the sum of its proper divisors (88535659094057).

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

48206498748100 is a wasteful number, since it uses less digits than its factorization.

48206498748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 61.

The spelling of 48206498748100 in words is "forty-eight trillion, two hundred six billion, four hundred ninety-eight million, seven hundred forty-eight thousand, one hundred".