6138994147200 has 672 divisors, whose sum is σ = 22776650002440. Its totient is φ = 1634243973120.

The previous prime is 6138994147151. The next prime is 6138994147211. The reversal of 6138994147200 is 27414998316.

6138994147200 is a `hidden beast` number, since 6 + 1 + 3 + 89 + 94 + 1 + 472 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 1593300474 + ... + 1593304326.

Almost surely, 2^{6138994147200} is an apocalyptic number.

6138994147200 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 6138994147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11388325001220).

6138994147200 is an abundant number, since it is smaller than the sum of its proper divisors (16637655855240).

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

6138994147200 is an equidigital number, since it uses as much as digits as its factorization.

6138994147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 6138994147200 in words is "six trillion, one hundred thirty-eight billion, nine hundred ninety-four million, one hundred forty-seven thousand, two hundred".