2114729672814 has 144 divisors (see below), whose sum is σ = 5180631608880. Its totient is φ = 622519603200.

The previous prime is 2114729672773. The next prime is 2114729672833. The reversal of 2114729672814 is 4182769274112.

It is a happy number.

2114729672814 is a `hidden beast` number, since 2 + 1 + 1 + 472 + 96 + 7 + 2 + 81 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51635157 + ... + 51676095.

It is an arithmetic number, because the mean of its divisors is an integer number (35976608395).

Almost surely, 2^{2114729672814} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114729672814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590315804440).

2114729672814 is an abundant number, since it is smaller than the sum of its proper divisors (3065901936066).

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

2114729672814 is a wasteful number, since it uses less digits than its factorization.

2114729672814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41647 (or 41633 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 2114729672814 in words is "two trillion, one hundred fourteen billion, seven hundred twenty-nine million, six hundred seventy-two thousand, eight hundred fourteen".