4972882160016 has 45 divisors (see below), whose sum is σ = 13917238158369. Its totient is φ = 1657618466688.

The previous prime is 4972882160011. The next prime is 4972882160023. The reversal of 4972882160016 is 6100612882794.

It is a happy number.

The square root of 4972882160016 is 2229996.

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

4972882160016 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 8 + 8 + 21 + 600 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2410628864400 + 2562253295616 = 1552620^2 + 1600704^2 .

It is not an unprimeable number, because it can be changed into a prime (4972882160011) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 26667036 + ... + 26852868.

Almost surely, 2^{4972882160016} is an apocalyptic number.

4972882160016 is the 2229996-th square number.

It is an amenable number.

4972882160016 is an abundant number, since it is smaller than the sum of its proper divisors (8944355998353).

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

4972882160016 is an frugal number, since it uses more digits than its factorization.

4972882160016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371680 (or 185838 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 4972882160016 in words is "four trillion, nine hundred seventy-two billion, eight hundred eighty-two million, one hundred sixty thousand, sixteen".