6148003794400 has 288 divisors, whose sum is σ = 16874044867008. Its totient is φ = 2170311475200.

The previous prime is 6148003794353. The next prime is 6148003794403. The reversal of 6148003794400 is 44973008416.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6148003794403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655642512 + ... + 655651888.

It is an arithmetic number, because the mean of its divisors is an integer number (58590433566).

Almost surely, 2^{6148003794400} 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 6148003794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8437022433504).

6148003794400 is an abundant number, since it is smaller than the sum of its proper divisors (10726041072608).

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

6148003794400 is a wasteful number, since it uses less digits than its factorization.

6148003794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12174 (or 12161 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 6148003794400 in words is "six trillion, one hundred forty-eight billion, three million, seven hundred ninety-four thousand, four hundred".