6316125248160 has 1152 divisors, whose sum is σ = 28212876357120. Its totient is φ = 1249431257088.

The previous prime is 6316125248107. The next prime is 6316125248171. The reversal of 6316125248160 is 618425216136.

6316125248160 is a `hidden beast` number, since 6 + 3 + 1 + 61 + 2 + 52 + 481 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241493644 + ... + 241519796.

It is an arithmetic number, because the mean of its divisors is an integer number (24490344060).

Almost surely, 2^{6316125248160} is an apocalyptic number.

6316125248160 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 6316125248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106438178560).

6316125248160 is an abundant number, since it is smaller than the sum of its proper divisors (21896751108960).

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

6316125248160 is a wasteful number, since it uses less digits than its factorization.

6316125248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26310 (or 26299 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 6316125248160 in words is "six trillion, three hundred sixteen billion, one hundred twenty-five million, two hundred forty-eight thousand, one hundred sixty".