3134414914337 has 36 divisors (see below), whose sum is σ = 3931376862528. Its totient is φ = 2486932232400.

The previous prime is 3134414914297. The next prime is 3134414914391. The reversal of 3134414914337 is 7334194144313.

It is not a de Polignac number, because 3134414914337 - 2¹⁶ = 3134414848801 is a prime.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3134414914291 and 3134414914300.

It is not an unprimeable number, because it can be changed into a prime (3134414910337) 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 35 ways as a sum of consecutive naturals, for example, 363989 + ... + 2530082.

It is an arithmetic number, because the mean of its divisors is an integer number (109204912848).

Almost surely, 2^{3134414914337} is an apocalyptic number.

It is an amenable number.

3134414914337 is a deficient number, since it is larger than the sum of its proper divisors (796961948191).

3134414914337 is a wasteful number, since it uses less digits than its factorization.

3134414914337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894170 (or 2894132 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 47.

The spelling of 3134414914337 in words is "three trillion, one hundred thirty-four billion, four hundred fourteen million, nine hundred fourteen thousand, three hundred thirty-seven".