348166907891712 has 1456 divisors, whose sum is σ = 1326271764937728. Its totient is φ = 88860017295360.

The previous prime is 348166907891651. The next prime is 348166907891723. The reversal of 348166907891712 is 217198709661843.

348166907891712 is a `hidden beast` number, since 3 + 481 + 6 + 6 + 9 + 0 + 78 + 9 + 1 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8423440198 + ... + 8423481530.

Almost surely, 2^{348166907891712} is an apocalyptic number.

348166907891712 is a gapful number since it is divisible by the number (32) 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 348166907891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663135882468864).

348166907891712 is an abundant number, since it is smaller than the sum of its proper divisors (978104857046016).

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

348166907891712 is an equidigital number, since it uses as much as digits as its factorization.

348166907891712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41426 (or 41389 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 348166907891712 in words is "three hundred forty-eight trillion, one hundred sixty-six billion, nine hundred seven million, eight hundred ninety-one thousand, seven hundred twelve".