6086148096000 has 1728 divisors, whose sum is σ = 24929170156800. Its totient is φ = 1317902745600.

The previous prime is 6086148095983. The next prime is 6086148096013. The reversal of 6086148096000 is 6908416806.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 320323583991 + ... + 320323584009.

It is an arithmetic number, because the mean of its divisors is an integer number (14426603100).

Almost surely, 2^{6086148096000} is an apocalyptic number.

6086148096000 is a gapful number since it is divisible by the number (60) 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 6086148096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12464585078400).

6086148096000 is an abundant number, since it is smaller than the sum of its proper divisors (18843022060800).

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

6086148096000 is an frugal number, since it uses more digits than its factorization.

6086148096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 6086148096000 in words is "six trillion, eighty-six billion, one hundred forty-eight million, ninety-six thousand".