2116400511641 has 16 divisors (see below), whose sum is σ = 2291422307328. Its totient is φ = 1943127264000.

The previous prime is 2116400511613. The next prime is 2116400511661. The reversal of 2116400511641 is 1461150046112.

It is a de Polignac number, because none of the positive numbers 2^k-2116400511641 is a prime.

It is a super-2 number, since 2×2116400511641² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2116400511598 and 2116400511607.

It is not an unprimeable number, because it can be changed into a prime (2116400511661) 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 15 ways as a sum of consecutive naturals, for example, 21371441 + ... + 21470241.

It is an arithmetic number, because the mean of its divisors is an integer number (143213894208).

Almost surely, 2^{2116400511641} is an apocalyptic number.

It is an amenable number.

2116400511641 is a deficient number, since it is larger than the sum of its proper divisors (175021795687).

2116400511641 is a wasteful number, since it uses less digits than its factorization.

2116400511641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107632.

The product of its (nonzero) digits is 5760, while the sum is 32.

Adding to 2116400511641 its reverse (1461150046112), we get a palindrome (3577550557753).

The spelling of 2116400511641 in words is "two trillion, one hundred sixteen billion, four hundred million, five hundred eleven thousand, six hundred forty-one".