2214123648 has 128 divisors (see below), whose sum is σ = 6441422400. Its totient is φ = 668282880.

The previous prime is 2214123641. The next prime is 2214123661. The reversal of 2214123648 is 8463214122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2214123641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1236738 + ... + 1238526.

Almost surely, 2^2214123648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220711200).

2214123648 is an abundant number, since it is smaller than the sum of its proper divisors (4227298752).

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

2214123648 is a wasteful number, since it uses less digits than its factorization.

2214123648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2098 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2214123648 is about 47054.4753238202. The cubic root of 2214123648 is about 1303.3687084427.

The spelling of 2214123648 in words is "two billion, two hundred fourteen million, one hundred twenty-three thousand, six hundred forty-eight".