2116456112562 has 128 divisors (see below), whose sum is σ = 4963301111808. Its totient is φ = 594511948800.

The previous prime is 2116456112549. The next prime is 2116456112567. The reversal of 2116456112562 is 2652116546112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2116456112567) 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, 80684493 + ... + 80710719.

It is an arithmetic number, because the mean of its divisors is an integer number (38775789936).

Almost surely, 2^{2116456112562} is an apocalyptic number.

2116456112562 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116456112562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481650555904).

2116456112562 is an abundant number, since it is smaller than the sum of its proper divisors (2846844999246).

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

2116456112562 is a wasteful number, since it uses less digits than its factorization.

2116456112562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27344.

The product of its digits is 172800, while the sum is 42.

The spelling of 2116456112562 in words is "two trillion, one hundred sixteen billion, four hundred fifty-six million, one hundred twelve thousand, five hundred sixty-two".