6113853188352 has 2304 divisors, whose sum is σ = 24028282880000. Its totient is φ = 1540678164480.

The previous prime is 6113853188299. The next prime is 6113853188353. The reversal of 6113853188352 is 2538813583116.

6113853188352 is a `hidden beast` number, since 61 + 1 + 3 + 8 + 53 + 188 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

Its product of digits (4147200) is a multiple of the sum of its prime divisors (135).

It is not an unprimeable number, because it can be changed into a prime (6113853188353) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77390546649 + ... + 77390546727.

Almost surely, 2^{6113853188352} is an apocalyptic number.

6113853188352 is a gapful number since it is divisible by the number (62) 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 6113853188352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12014141440000).

6113853188352 is an abundant number, since it is smaller than the sum of its proper divisors (17914429691648).

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

6113853188352 is an frugal number, since it uses more digits than its factorization.

6113853188352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 135 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 6113853188352 in words is "six trillion, one hundred thirteen billion, eight hundred fifty-three million, one hundred eighty-eight thousand, three hundred fifty-two".