6112478623104 has 768 divisors, whose sum is σ = 22123432800000. Its totient is φ = 1652015554560.

The previous prime is 6112478623103. The next prime is 6112478623109. The reversal of 6112478623104 is 4013268742116.

6112478623104 is a `hidden beast` number, since 6 + 1 + 1 + 2 + 4 + 7 + 8 + 623 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6112478623104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6112478623103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3375194359 + ... + 3375196169.

It is an arithmetic number, because the mean of its divisors is an integer number (28806553125).

Almost surely, 2^{6112478623104} is an apocalyptic number.

6112478623104 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 6112478623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11061716400000).

6112478623104 is an abundant number, since it is smaller than the sum of its proper divisors (16010954176896).

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

6112478623104 is a wasteful number, since it uses less digits than its factorization.

6112478623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6112478623104 in words is "six trillion, one hundred twelve billion, four hundred seventy-eight million, six hundred twenty-three thousand, one hundred four".