6139113984000 has 1664 divisors, whose sum is σ = 24332506997760. Its totient is φ = 1521745920000.

The previous prime is 6139113983999. The next prime is 6139113984007. The reversal of 6139113984000 is 4893119316.

6139113984000 is a `hidden beast` number, since 61 + 3 + 91 + 13 + 98 + 400 + 0 = 666.

It is a super-3 number, since 3×6139113984000³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6139113984007) 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 127 ways as a sum of consecutive naturals, for example, 35486207914 + ... + 35486208086.

It is an arithmetic number, because the mean of its divisors is an integer number (14622900840).

Almost surely, 2^{6139113984000} is an apocalyptic number.

6139113984000 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 6139113984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166253498880).

6139113984000 is an abundant number, since it is smaller than the sum of its proper divisors (18193393013760).

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

6139113984000 is a wasteful number, since it uses less digits than its factorization.

6139113984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 6139113984000 in words is "six trillion, one hundred thirty-nine billion, one hundred thirteen million, nine hundred eighty-four thousand".