6381337248000 has 3456 divisors, whose sum is σ = 28989329241600. Its totient is φ = 1368686592000.

The previous prime is 6381337247977. The next prime is 6381337248007. The reversal of 6381337248000 is 8427331836.

6381337248000 is a `hidden beast` number, since 6 + 38 + 133 + 7 + 2 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6381337248007) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 46579103932 + ... + 46579104068.

It is an arithmetic number, because the mean of its divisors is an integer number (8388116100).

Almost surely, 2^{6381337248000} is an apocalyptic number.

6381337248000 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 6381337248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14494664620800).

6381337248000 is an abundant number, since it is smaller than the sum of its proper divisors (22607991993600).

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

6381337248000 is a wasteful number, since it uses less digits than its factorization.

6381337248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6381337248000 in words is "six trillion, three hundred eighty-one billion, three hundred thirty-seven million, two hundred forty-eight thousand".