6345400611015 has 16 divisors (see below), whose sum is σ = 11280712197600. Its totient is φ = 3384213659136.

The previous prime is 6345400610981. The next prime is 6345400611049. The reversal of 6345400611015 is 5101160045436.

6345400611015 is a `hidden beast` number, since 6 + 3 + 4 + 540 + 0 + 6 + 1 + 101 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (6345400610981) and next prime (6345400611049).

It is not a de Polignac number, because 6345400611015 - 2⁹ = 6345400610503 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23501483610 + ... + 23501483879.

It is an arithmetic number, because the mean of its divisors is an integer number (705044512350).

Almost surely, 2^{6345400611015} is an apocalyptic number.

6345400611015 is a deficient number, since it is larger than the sum of its proper divisors (4935311586585).

6345400611015 is a wasteful number, since it uses less digits than its factorization.

6345400611015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47002967503 (or 47002967497 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 6345400611015 in words is "six trillion, three hundred forty-five billion, four hundred million, six hundred eleven thousand, fifteen".