6135081467904 has 288 divisors, whose sum is σ = 18805090248000. Its totient is φ = 1974475948032.

The previous prime is 6135081467887. The next prime is 6135081467909. The reversal of 6135081467904 is 4097641805316.

6135081467904 is a `hidden beast` number, since 6 + 1 + 3 + 508 + 1 + 46 + 7 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (6135081467909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102599487 + ... + 102659265.

It is an arithmetic number, because the mean of its divisors is an integer number (65295452250).

Almost surely, 2^{6135081467904} is an apocalyptic number.

6135081467904 is a gapful number since it is divisible by the number (64) 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 6135081467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402545124000).

6135081467904 is an abundant number, since it is smaller than the sum of its proper divisors (12670008780096).

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

6135081467904 is an frugal number, since it uses more digits than its factorization.

6135081467904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59851 (or 59813 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 6135081467904 in words is "six trillion, one hundred thirty-five billion, eighty-one million, four hundred sixty-seven thousand, nine hundred four".