6126897216 has 112 divisors (see below), whose sum is σ = 17746602048. Its totient is φ = 1850112000.

The previous prime is 6126897191. The next prime is 6126897221. The reversal of 6126897216 is 6127986216.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613866 + ... + 623766.

It is an arithmetic number, because the mean of its divisors is an integer number (158451804).

Almost surely, 2^6126897216 is an apocalyptic number.

6126897216 is a gapful number since it is divisible by the number (66) 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 6126897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8873301024).

6126897216 is an abundant number, since it is smaller than the sum of its proper divisors (11619704832).

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

6126897216 is a wasteful number, since it uses less digits than its factorization.

6126897216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 10210 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 6126897216 is about 78274.4991424410. The cubic root of 6126897216 is about 1829.8417468932.

The spelling of 6126897216 in words is "six billion, one hundred twenty-six million, eight hundred ninety-seven thousand, two hundred sixteen".