4368651356160 has 2688 divisors, whose sum is σ = 19851223392000. Its totient is φ = 897801781248.

The previous prime is 4368651356149. The next prime is 4368651356203. The reversal of 4368651356160 is 616531568634.

4368651356160 is a `hidden beast` number, since 4 + 3 + 6 + 8 + 6 + 5 + 13 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×4368651356160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4368651356097 and 4368651356106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 40079370186 + ... + 40079370294.

It is an arithmetic number, because the mean of its divisors is an integer number (7385127750).

Almost surely, 2^{4368651356160} is an apocalyptic number.

4368651356160 is a gapful number since it is divisible by the number (40) 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 4368651356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925611696000).

4368651356160 is an abundant number, since it is smaller than the sum of its proper divisors (15482572035840).

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

4368651356160 is a wasteful number, since it uses less digits than its factorization.

4368651356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 4368651356160 in words is "four trillion, three hundred sixty-eight billion, six hundred fifty-one million, three hundred fifty-six thousand, one hundred sixty".