2116512314511 has 64 divisors (see below), whose sum is σ = 3533362560000. Its totient is φ = 1098813413376.

The previous prime is 2116512314507. The next prime is 2116512314519. The reversal of 2116512314511 is 1154132156112.

It is not a de Polignac number, because 2116512314511 - 2² = 2116512314507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116512314519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57575365 + ... + 57612113.

It is an arithmetic number, because the mean of its divisors is an integer number (55208790000).

Almost surely, 2^{2116512314511} is an apocalyptic number.

2116512314511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2116512314511 is a deficient number, since it is larger than the sum of its proper divisors (1416850245489).

2116512314511 is a wasteful number, since it uses less digits than its factorization.

2116512314511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42368.

The product of its digits is 7200, while the sum is 33.

The spelling of 2116512314511 in words is "two trillion, one hundred sixteen billion, five hundred twelve million, three hundred fourteen thousand, five hundred eleven".