2111516146432 has 144 divisors (see below), whose sum is σ = 5366602386432. Its totient is φ = 805164687360.

The previous prime is 2111516146391. The next prime is 2111516146451. The reversal of 2111516146432 is 2346416151112.

It is a junction number, because it is equal to n+sod(n) for n = 2111516146391 and 2111516146400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213093 + ... + 2066020.

It is an arithmetic number, because the mean of its divisors is an integer number (37268072128).

Almost surely, 2^{2111516146432} is an apocalyptic number.

2111516146432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111516146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683301193216).

2111516146432 is an abundant number, since it is smaller than the sum of its proper divisors (3255086240000).

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

2111516146432 is a wasteful number, since it uses less digits than its factorization.

2111516146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279194 (or 2279180 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The spelling of 2111516146432 in words is "two trillion, one hundred eleven billion, five hundred sixteen million, one hundred forty-six thousand, four hundred thirty-two".