347378114801 has 16 divisors (see below), whose sum is σ = 368854248960. Its totient is φ = 326019006720.

The previous prime is 347378114723. The next prime is 347378114813. The reversal of 347378114801 is 108411873743.

It is a cyclic number.

It is not a de Polignac number, because 347378114801 - 2²² = 347373920497 is a prime.

It is a super-4 number, since 4×347378114801⁴ (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (347378114821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9365270 + ... + 9402288.

It is an arithmetic number, because the mean of its divisors is an integer number (23053390560).

Almost surely, 2^347378114801 is an apocalyptic number.

It is an amenable number.

347378114801 is a deficient number, since it is larger than the sum of its proper divisors (21476134159).

347378114801 is a wasteful number, since it uses less digits than its factorization.

347378114801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38584.

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 347378114801 in words is "three hundred forty-seven billion, three hundred seventy-eight million, one hundred fourteen thousand, eight hundred one".