4900511964100 has 243 divisors, whose sum is σ = 11352034901781. Its totient is φ = 1836139622400.

The previous prime is 4900511964031. The next prime is 4900511964149. The reversal of 4900511964100 is 14691150094.

The square root of 4900511964100 is 2213710.

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 2242464320196 + 2658047643904 = 1497486^2 + 1630352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25391253604 + ... + 25391253796.

Almost surely, 2^{4900511964100} is an apocalyptic number.

4900511964100 is the 2213710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4900511964100

4900511964100 is an abundant number, since it is smaller than the sum of its proper divisors (6451522937681).

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

4900511964100 is a wasteful number, since it uses less digits than its factorization.

4900511964100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 4900511964100 in words is "four trillion, nine hundred billion, five hundred eleven million, nine hundred sixty-four thousand, one hundred".