348251166081 has 96 divisors (see below), whose sum is σ = 646419271680. Its totient is φ = 175600732032.

The previous prime is 348251166077. The next prime is 348251166089. The reversal of 348251166081 is 180661152843.

348251166081 is a `hidden beast` number, since 3 + 4 + 8 + 25 + 1 + 16 + 608 + 1 = 666.

It is not a de Polignac number, because 348251166081 - 2² = 348251166077 is a prime.

It is a super-2 number, since 2×348251166081² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348251166089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38404110 + ... + 38413176.

It is an arithmetic number, because the mean of its divisors is an integer number (6733534080).

Almost surely, 2^348251166081 is an apocalyptic number.

It is an amenable number.

348251166081 is a deficient number, since it is larger than the sum of its proper divisors (298168105599).

348251166081 is a wasteful number, since it uses less digits than its factorization.

348251166081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 348251166081 in words is "three hundred forty-eight billion, two hundred fifty-one million, one hundred sixty-six thousand, eighty-one".