2414414642164 has 96 divisors (see below), whose sum is σ = 5119209849600. Its totient is φ = 974313661440.

The previous prime is 2414414642161. The next prime is 2414414642179. The reversal of 2414414642164 is 4612464144142.

It is a self number, because there is not a number n which added to its sum of digits gives 2414414642164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414414642161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92838387 + ... + 92864389.

It is an arithmetic number, because the mean of its divisors is an integer number (53325102600).

Almost surely, 2^{2414414642164} 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 2414414642164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559604924800).

2414414642164 is an abundant number, since it is smaller than the sum of its proper divisors (2704795207436).

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

2414414642164 is a wasteful number, since it uses less digits than its factorization.

2414414642164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28873 (or 28871 counting only the distinct ones).

The product of its digits is 589824, while the sum is 43.

The spelling of 2414414642164 in words is "two trillion, four hundred fourteen billion, four hundred fourteen million, six hundred forty-two thousand, one hundred sixty-four".