49066680100 has 81 divisors (see below), whose sum is σ = 113193208947. Its totient is φ = 18457985280.

The previous prime is 49066680067. The next prime is 49066680107. The reversal of 49066680100 is 108666094.

The square root of 49066680100 is 221510.

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

49066680100 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 1147718884 + 47918961216 = 33878^2 + 218904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49066680107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37656049 + ... + 37657351.

Almost surely, 2^49066680100 is an apocalyptic number.

49066680100 is the 221510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49066680100

49066680100 is an abundant number, since it is smaller than the sum of its proper divisors (64126528847).

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

49066680100 is a wasteful number, since it uses less digits than its factorization.

49066680100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 49066680100 in words is "forty-nine billion, sixty-six million, six hundred eighty thousand, one hundred".