6148144800 has 432 divisors, whose sum is σ = 24942153600. Its totient is φ = 1395947520.

The previous prime is 6148144763. The next prime is 6148144801. The reversal of 6148144800 is 84418416.

6148144800 is a `hidden beast` number, since 61 + 481 + 44 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6148144801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10029294 + ... + 10029906.

Almost surely, 2^6148144800 is an apocalyptic number.

6148144800 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 6148144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12471076800).

6148144800 is an abundant number, since it is smaller than the sum of its proper divisors (18794008800).

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

6148144800 is a wasteful number, since it uses less digits than its factorization.

6148144800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6148144800 is about 78410.1064914466. The cubic root of 6148144800 is about 1831.9545541506.

The spelling of 6148144800 in words is "six billion, one hundred forty-eight million, one hundred forty-four thousand, eight hundred".