6148838400 has 396 divisors, whose sum is σ = 21571318752. Its totient is φ = 1541816320.

The previous prime is 6148838393. The next prime is 6148838411. The reversal of 6148838400 is 48388416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104217571 + ... + 104217629.

Almost surely, 2^6148838400 is an apocalyptic number.

6148838400 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 6148838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10785659376).

6148838400 is an abundant number, since it is smaller than the sum of its proper divisors (15422480352).

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

6148838400 is a wasteful number, since it uses less digits than its factorization.

6148838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 6148838400 is about 78414.5292659466. The cubic root of 6148838400 is about 1832.0234419176.

The spelling of 6148838400 in words is "six billion, one hundred forty-eight million, eight hundred thirty-eight thousand, four hundred".