2114106527008 has 96 divisors (see below), whose sum is σ = 4815743708160. Its totient is φ = 894814490880.

The previous prime is 2114106526949. The next prime is 2114106527009. The reversal of 2114106527008 is 8007256014112.

It is not an unprimeable number, because it can be changed into a prime (2114106527009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57226303 + ... + 57263233.

It is an arithmetic number, because the mean of its divisors is an integer number (50163996960).

Almost surely, 2^{2114106527008} is an apocalyptic number.

2114106527008 is a gapful number since it is divisible by the number (28) 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 2114106527008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407871854080).

2114106527008 is an abundant number, since it is smaller than the sum of its proper divisors (2701637181152).

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

2114106527008 is a wasteful number, since it uses less digits than its factorization.

2114106527008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40110 (or 40102 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 2114106527008 in words is "two trillion, one hundred fourteen billion, one hundred six million, five hundred twenty-seven thousand, eight".