2114132034432 has 128 divisors (see below), whose sum is σ = 6161591617920. Its totient is φ = 636942694400.

The previous prime is 2114132034431. The next prime is 2114132034433. The reversal of 2114132034432 is 2344302314112.

It is an interprime number because it is at equal distance from previous prime (2114132034431) and next prime (2114132034433).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2114132034432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114132034431) 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, 715794 + ... + 2177297.

It is an arithmetic number, because the mean of its divisors is an integer number (48137434515).

Almost surely, 2^{2114132034432} is an apocalyptic number.

2114132034432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2114132034432 is an abundant number, since it is smaller than the sum of its proper divisors (4047459583488).

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

2114132034432 is a wasteful number, since it uses less digits than its factorization.

2114132034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893292 (or 2893280 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2114132034432 its reverse (2344302314112), we get a palindrome (4458434348544).

The spelling of 2114132034432 in words is "two trillion, one hundred fourteen billion, one hundred thirty-two million, thirty-four thousand, four hundred thirty-two".