414863455968 has 768 divisors, whose sum is σ = 1439559475200. Its totient is φ = 115020103680.

The previous prime is 414863455967. The next prime is 414863455991. The reversal of 414863455968 is 869554368414.

414863455968 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 6 + 34 + 5 + 596 + 8 = 666.

414863455968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414863455968² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414863455967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 645199455 + ... + 645200097.

It is an arithmetic number, because the mean of its divisors is an integer number (1874426400).

Almost surely, 2^414863455968 is an apocalyptic number.

414863455968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414863455968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719779737600).

414863455968 is an abundant number, since it is smaller than the sum of its proper divisors (1024696019232).

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

414863455968 is a wasteful number, since it uses less digits than its factorization.

414863455968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 414863455968 in words is "four hundred fourteen billion, eight hundred sixty-three million, four hundred fifty-five thousand, nine hundred sixty-eight".