6123170046016 has 21 divisors (see below), whose sum is σ = 12150704842941. Its totient is φ = 3061575124992.

The previous prime is 6123170046001. The next prime is 6123170046023. The reversal of 6123170046016 is 6106400713216.

The square root of 6123170046016 is 2474504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 94691598400 + 6028478447616 = 307720^2 + 2455296^2 .

It is a super-2 number, since 2×6123170046016² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19641376 + ... + 19950688.

It is an arithmetic number, because the mean of its divisors is an integer number (578604992521).

Almost surely, 2^{6123170046016} is an apocalyptic number.

6123170046016 is the 2474504-th square number.

It is an amenable number.

6123170046016 is a deficient number, since it is larger than the sum of its proper divisors (6027534796925).

6123170046016 is an frugal number, since it uses more digits than its factorization.

6123170046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618638 (or 309315 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 6123170046016 in words is "six trillion, one hundred twenty-three billion, one hundred seventy million, forty-six thousand, sixteen".