4118454597168 has 180 divisors, whose sum is σ = 12180611638728. Its totient is φ = 1298843112960.

The previous prime is 4118454597143. The next prime is 4118454597197. The reversal of 4118454597168 is 8617954548114.

4118454597168 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 454 + 59 + 71 + 68 = 666.

It is a super-3 number, since 3×4118454597168³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39507771 + ... + 39611877.

Almost surely, 2^{4118454597168} is an apocalyptic number.

4118454597168 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 4118454597168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090305819364).

4118454597168 is an abundant number, since it is smaller than the sum of its proper divisors (8062157041560).

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

4118454597168 is a wasteful number, since it uses less digits than its factorization.

4118454597168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104920 (or 104892 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 4118454597168 in words is "four trillion, one hundred eighteen billion, four hundred fifty-four million, five hundred ninety-seven thousand, one hundred sixty-eight".