6112814400 has 1008 divisors, whose sum is σ = 28006243200. Its totient is φ = 1227571200.

The previous prime is 6112814377. The next prime is 6112814401. The reversal of 6112814400 is 44182116.

It is a happy number.

6112814400 is a `hidden beast` number, since 611 + 2 + 8 + 1 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6112814401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 41025526 + ... + 41025674.

Almost surely, 2^6112814400 is an apocalyptic number.

6112814400 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 6112814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14003121600).

6112814400 is an abundant number, since it is smaller than the sum of its proper divisors (21893428800).

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

6112814400 is a wasteful number, since it uses less digits than its factorization.

6112814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6112814400 is about 78184.4895103882. The cubic root of 6112814400 is about 1828.4386933970.

Adding to 6112814400 its reverse (44182116), we get a palindrome (6156996516).

The spelling of 6112814400 in words is "six billion, one hundred twelve million, eight hundred fourteen thousand, four hundred".