418534944768 has 312 divisors, whose sum is σ = 1256927035728. Its totient is φ = 134069354496.

The previous prime is 418534944749. The next prime is 418534944809. The reversal of 418534944768 is 867449435814.

418534944768 is a `hidden beast` number, since 4 + 1 + 8 + 534 + 94 + 4 + 7 + 6 + 8 = 666.

It is a super-3 number, since 3×418534944768³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113207496 + ... + 113211192.

It is an arithmetic number, because the mean of its divisors is an integer number (4028612294).

Almost surely, 2^418534944768 is an apocalyptic number.

418534944768 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 418534944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628463517864).

418534944768 is an abundant number, since it is smaller than the sum of its proper divisors (838392090960).

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

418534944768 is a wasteful number, since it uses less digits than its factorization.

418534944768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3822 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 418534944768 in words is "four hundred eighteen billion, five hundred thirty-four million, nine hundred forty-four thousand, seven hundred sixty-eight".