2114300344032 has 144 divisors (see below), whose sum is σ = 6053248000800. Its totient is φ = 700007433216.

The previous prime is 2114300344031. The next prime is 2114300344061. The reversal of 2114300344032 is 2304430034112.

2114300344032 is a `hidden beast` number, since 2 + 1 + 14 + 300 + 344 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2114300343987 and 2114300344005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114300344031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33953758 + ... + 34015970.

It is an arithmetic number, because the mean of its divisors is an integer number (42036444450).

Almost surely, 2^{2114300344032} 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 2114300344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026624000400).

2114300344032 is an abundant number, since it is smaller than the sum of its proper divisors (3938947656768).

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

2114300344032 is a wasteful number, since it uses less digits than its factorization.

2114300344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63025 (or 63014 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2114300344032 its reverse (2304430034112), we get a palindrome (4418730378144).

The spelling of 2114300344032 in words is "two trillion, one hundred fourteen billion, three hundred million, three hundred forty-four thousand, thirty-two".