6149131968 has 112 divisors (see below), whose sum is σ = 18708542720. Its totient is φ = 1746054144.

The previous prime is 6149131951. The next prime is 6149131969. The reversal of 6149131968 is 8691319416.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6149131969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205038 + ... + 233106.

It is an arithmetic number, because the mean of its divisors is an integer number (167040560).

Almost surely, 2^6149131968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6149131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354271360).

6149131968 is an abundant number, since it is smaller than the sum of its proper divisors (12559410752).

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

6149131968 is a wasteful number, since it uses less digits than its factorization.

6149131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28254 (or 28244 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 6149131968 is about 78416.4011415979. The cubic root of 6149131968 is about 1832.0525972835.

The spelling of 6149131968 in words is "six billion, one hundred forty-nine million, one hundred thirty-one thousand, nine hundred sixty-eight".