2116512870976 has 189 divisors, whose sum is σ = 4961084751801. Its totient is φ = 893285213184.

The previous prime is 2116512870973. The next prime is 2116512870977. The reversal of 2116512870976 is 6790782156112.

The square root of 2116512870976 is 1454824.

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., 13502440000 + 2103010430976 = 116200^2 + 1450176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2116512870973) 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 26 ways as a sum of consecutive naturals, for example, 6762021796 + ... + 6762022108.

Almost surely, 2^{2116512870976} is an apocalyptic number.

2116512870976 is the 1454824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116512870976

2116512870976 is an abundant number, since it is smaller than the sum of its proper divisors (2844571880825).

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

2116512870976 is an frugal number, since it uses more digits than its factorization.

2116512870976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 2116512870976 in words is "two trillion, one hundred sixteen billion, five hundred twelve million, eight hundred seventy thousand, nine hundred seventy-six".