4971643648100 has 18 divisors (see below), whose sum is σ = 10788466716594. Its totient is φ = 1988657459200.

The previous prime is 4971643647977. The next prime is 4971643648117. The reversal of 4971643648100 is 18463461794.

It can be written as a sum of positive squares in 3 ways, for example, as 1467761326144 + 3503882321956 = 1211512^2 + 1871866^2 .

It is a super-2 number, since 2×4971643648100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24858218141 + ... + 24858218340.

It is an arithmetic number, because the mean of its divisors is an integer number (599359262033).

Almost surely, 2^{4971643648100} is an apocalyptic number.

It is an amenable number.

4971643648100 is an abundant number, since it is smaller than the sum of its proper divisors (5816823068494).

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

4971643648100 is a wasteful number, since it uses less digits than its factorization.

4971643648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49716436495 (or 49716436488 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 4971643648100 in words is "four trillion, nine hundred seventy-one billion, six hundred forty-three million, six hundred forty-eight thousand, one hundred".