6149138688 has 648 divisors, whose sum is σ = 23409719424. Its totient is φ = 1516584960.

The previous prime is 6149138659. The next prime is 6149138707. The reversal of 6149138688 is 8868319416.

6149138688 is a `hidden beast` number, since 61 + 491 + 38 + 68 + 8 = 666.

It is a super-2 number, since 2×6149138688² = 75623813208516722688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44884156 + ... + 44884292.

Almost surely, 2^6149138688 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 6149138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704859712).

6149138688 is an abundant number, since it is smaller than the sum of its proper divisors (17260580736).

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

6149138688 is a wasteful number, since it uses less digits than its factorization.

6149138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 6149138688 is about 78416.4439897653. The cubic root of 6149138688 is about 1832.0532646616.

The spelling of 6149138688 in words is "six billion, one hundred forty-nine million, one hundred thirty-eight thousand, six hundred eighty-eight".