6170814144 has 224 divisors, whose sum is σ = 19961230080. Its totient is φ = 1869246720.

The previous prime is 6170814131. The next prime is 6170814149. The reversal of 6170814144 is 4414180716.

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

It is a junction number, because it is equal to n+sod(n) for n = 6170814099 and 6170814108.

It is not an unprimeable number, because it can be changed into a prime (6170814149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2298627 + ... + 2301309.

Almost surely, 2^6170814144 is an apocalyptic number.

6170814144 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 6170814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9980615040).

6170814144 is an abundant number, since it is smaller than the sum of its proper divisors (13790415936).

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

6170814144 is a wasteful number, since it uses less digits than its factorization.

6170814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6170814144 is about 78554.5297484493. The cubic root of 6170814144 is about 1834.2033772607.

The spelling of 6170814144 in words is "six billion, one hundred seventy million, eight hundred fourteen thousand, one hundred forty-four".