6128456712 has 128 divisors (see below), whose sum is σ = 18460016640. Its totient is φ = 1658384640.

The previous prime is 6128456699. The next prime is 6128456729. The reversal of 6128456712 is 2176548216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 232258 + ... + 257294.

It is an arithmetic number, because the mean of its divisors is an integer number (144218880).

Almost surely, 2^6128456712 is an apocalyptic number.

6128456712 is a gapful number since it is divisible by the number (62) 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 6128456712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230008320).

6128456712 is an abundant number, since it is smaller than the sum of its proper divisors (12331559928).

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

6128456712 is a wasteful number, since it uses less digits than its factorization.

6128456712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25131 (or 25127 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 6128456712 is about 78284.4602204039. The cubic root of 6128456712 is about 1829.9969852738.

The spelling of 6128456712 in words is "six billion, one hundred twenty-eight million, four hundred fifty-six thousand, seven hundred twelve".