414452817168 has 80 divisors (see below), whose sum is σ = 1167624433920. Its totient is φ = 125909701632.

The previous prime is 414452817133. The next prime is 414452817197. The reversal of 414452817168 is 861718254414.

It is a happy number.

It is a super-2 number, since 2×414452817168² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414452817168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4154421 + ... + 4253012.

It is an arithmetic number, because the mean of its divisors is an integer number (14595305424).

Almost surely, 2^414452817168 is an apocalyptic number.

414452817168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

414452817168 is an abundant number, since it is smaller than the sum of its proper divisors (753171616752).

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

414452817168 is a wasteful number, since it uses less digits than its factorization.

414452817168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8407536 (or 8407530 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The spelling of 414452817168 in words is "four hundred fourteen billion, four hundred fifty-two million, eight hundred seventeen thousand, one hundred sixty-eight".