4348061601408 has 192 divisors, whose sum is σ = 14301343230720. Its totient is φ = 1242136995840.

The previous prime is 4348061601397. The next prime is 4348061601427. The reversal of 4348061601408 is 8041061608434.

4348061601408 is a `hidden beast` number, since 4 + 3 + 4 + 80 + 6 + 160 + 1 + 408 = 666.

4348061601408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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, 68197641 + ... + 68261367.

It is an arithmetic number, because the mean of its divisors is an integer number (74486162660).

Almost surely, 2^{4348061601408} is an apocalyptic number.

4348061601408 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 4348061601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150671615360).

4348061601408 is an abundant number, since it is smaller than the sum of its proper divisors (9953281629312).

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

4348061601408 is a wasteful number, since it uses less digits than its factorization.

4348061601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72215 (or 72200 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4348061601408 in words is "four trillion, three hundred forty-eight billion, sixty-one million, six hundred one thousand, four hundred eight".