6148204416000 has 528 divisors, whose sum is σ = 22422785400288. Its totient is φ = 1619742720000.

The previous prime is 6148204415999. The next prime is 6148204416007. The reversal of 6148204416000 is 6144028416.

It is a happy number.

6148204416000 is a `hidden beast` number, since 6 + 1 + 4 + 8 + 2 + 0 + 4 + 41 + 600 + 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 (6148204416007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95583850 + ... + 95648150.

Almost surely, 2^{6148204416000} is an apocalyptic number.

6148204416000 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 6148204416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211392700144).

6148204416000 is an abundant number, since it is smaller than the sum of its proper divisors (16274580984288).

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

6148204416000 is a wasteful number, since it uses less digits than its factorization.

6148204416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64425 (or 64394 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 6148204416000 in words is "six trillion, one hundred forty-eight billion, two hundred four million, four hundred sixteen thousand".