2114896144 has 15 divisors (see below), whose sum is σ = 4097967717. Its totient is φ = 1057356096.

The previous prime is 2114896127. The next prime is 2114896151. The reversal of 2114896144 is 4416984112.

It is a happy number.

The square root of 2114896144 is 45988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1268784400 + 846111744 = 35620^2 + 29088^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2114896097 and 2114896106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 178204 + ... + 189700.

Almost surely, 2^2114896144 is an apocalyptic number.

2114896144 is the 45988-th square number.

It is an amenable number.

2114896144 is a deficient number, since it is larger than the sum of its proper divisors (1983071573).

2114896144 is an frugal number, since it uses more digits than its factorization.

2114896144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23002 (or 11499 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The cubic root of 2114896144 is about 1283.5999212897.

The spelling of 2114896144 in words is "two billion, one hundred fourteen million, eight hundred ninety-six thousand, one hundred forty-four".