4354118078688 has 384 divisors, whose sum is σ = 15657447536640. Its totient is φ = 1148762234880.

The previous prime is 4354118078659. The next prime is 4354118078693. The reversal of 4354118078688 is 8868708114534.

It is a happy number.

4354118078688 is a `hidden beast` number, since 4 + 3 + 541 + 1 + 8 + 0 + 7 + 8 + 6 + 88 = 666.

4354118078688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4354118078688³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5049733 + ... + 5848763.

It is an arithmetic number, because the mean of its divisors is an integer number (40774602960).

Almost surely, 2^{4354118078688} is an apocalyptic number.

4354118078688 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 4354118078688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7828723768320).

4354118078688 is an abundant number, since it is smaller than the sum of its proper divisors (11303329457952).

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

4354118078688 is a wasteful number, since it uses less digits than its factorization.

4354118078688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799127 (or 799113 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 4354118078688 in words is "four trillion, three hundred fifty-four billion, one hundred eighteen million, seventy-eight thousand, six hundred eighty-eight".