6914518940160 has 800 divisors, whose sum is σ = 26848877311872. Its totient is φ = 1690664140800.

The previous prime is 6914518940159. The next prime is 6914518940237. The reversal of 6914518940160 is 610498154196.

6914518940160 is a `hidden beast` number, since 6 + 91 + 451 + 8 + 9 + 40 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6914518940097 and 6914518940106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 407039187 + ... + 407056173.

Almost surely, 2^{6914518940160} is an apocalyptic number.

6914518940160 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 6914518940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13424438655936).

6914518940160 is an abundant number, since it is smaller than the sum of its proper divisors (19934358371712).

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

6914518940160 is a wasteful number, since it uses less digits than its factorization.

6914518940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17186 (or 17161 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 6914518940160 in words is "six trillion, nine hundred fourteen billion, five hundred eighteen million, nine hundred forty thousand, one hundred sixty".