49760224900 has 27 divisors (see below), whose sum is σ = 107984528869. Its totient is φ = 19903197680.

The previous prime is 49760224889. The next prime is 49760224951. The reversal of 49760224900 is 942206794.

The square root of 49760224900 is 223070.

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., 17913680964 + 31846543936 = 133842^2 + 178456^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 2219547 + ... + 2241853.

Almost surely, 2^49760224900 is an apocalyptic number.

49760224900 is the 223070-th square number.

It is an amenable number.

49760224900 is an abundant number, since it is smaller than the sum of its proper divisors (58224303969).

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

49760224900 is an frugal number, since it uses more digits than its factorization.

49760224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44628 (or 22314 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 49760224900 in words is "forty-nine billion, seven hundred sixty million, two hundred twenty-four thousand, nine hundred".