6112813824 has 216 divisors, whose sum is σ = 19577881680. Its totient is φ = 1880506368.

The previous prime is 6112813781. The next prime is 6112813859. The reversal of 6112813824 is 4283182116.

6112813824 is a `hidden beast` number, since 611 + 2 + 8 + 1 + 38 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165512 + ... + 1170744.

Almost surely, 2^6112813824 is an apocalyptic number.

6112813824 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 6112813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9788940840).

6112813824 is an abundant number, since it is smaller than the sum of its proper divisors (13465067856).

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

6112813824 is a wasteful number, since it uses less digits than its factorization.

6112813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5251 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 6112813824 is about 78184.4858267930. The cubic root of 6112813824 is about 1828.4386359668.

The spelling of 6112813824 in words is "six billion, one hundred twelve million, eight hundred thirteen thousand, eight hundred twenty-four".