6178061248128 has 640 divisors, whose sum is σ = 23133193142400. Its totient is φ = 1589946900480.

The previous prime is 6178061248109. The next prime is 6178061248141. The reversal of 6178061248128 is 8218421608716.

6178061248128 is a `hidden beast` number, since 6 + 1 + 7 + 8 + 0 + 612 + 4 + 8 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86983126 + ... + 87054122.

It is an arithmetic number, because the mean of its divisors is an integer number (36145614285).

Almost surely, 2^{6178061248128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6178061248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566596571200).

6178061248128 is an abundant number, since it is smaller than the sum of its proper divisors (16955131894272).

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

6178061248128 is a wasteful number, since it uses less digits than its factorization.

6178061248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71150 (or 71129 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 6178061248128 in words is "six trillion, one hundred seventy-eight billion, sixty-one million, two hundred forty-eight thousand, one hundred twenty-eight".