6149318031360 has 2304 divisors, whose sum is σ = 28178401305600. Its totient is φ = 1252106698752.

The previous prime is 6149318031349. The next prime is 6149318031371. The reversal of 6149318031360 is 631308139416.

It is a happy number.

6149318031360 is a `hidden beast` number, since 6 + 14 + 9 + 318 + 0 + 313 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6149318031349) and next prime (6149318031371).

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

It is a super-2 number, since 2×6149318031360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5626090974 + ... + 5626092066.

It is an arithmetic number, because the mean of its divisors is an integer number (12230208900).

Almost surely, 2^{6149318031360} is an apocalyptic number.

6149318031360 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 6149318031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14089200652800).

6149318031360 is an abundant number, since it is smaller than the sum of its proper divisors (22029083274240).

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

6149318031360 is a wasteful number, since it uses less digits than its factorization.

6149318031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 6149318031360 in words is "six trillion, one hundred forty-nine billion, three hundred eighteen million, thirty-one thousand, three hundred sixty".