4348263392001 has 81 divisors (see below), whose sum is σ = 6718896200289. Its totient is φ = 2709589232592.

The previous prime is 4348263391987. The next prime is 4348263392021. The reversal of 4348263392001 is 1002933628434.

The square root of 4348263392001 is 2085249.

It is a perfect power (a square), and thus also a powerful number.

4348263392001 is a `hidden beast` number, since 4 + 3 + 4 + 8 + 2 + 633 + 9 + 2 + 0 + 0 + 1 = 666.

4348263392001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-4348263392001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4348263392021) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6762462186 + ... + 6762462828.

Almost surely, 2^{4348263392001} is an apocalyptic number.

4348263392001 is the 2085249-th square number.

4348263392001 is the 1042625-th centered octagonal number.

It is an amenable number.

4348263392001 is a deficient number, since it is larger than the sum of its proper divisors (2370632808288).

4348263392001 is an frugal number, since it uses more digits than its factorization.

4348263392001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 4348263392001 in words is "four trillion, three hundred forty-eight billion, two hundred sixty-three million, three hundred ninety-two thousand, one".