6801413985 has 24 divisors (see below), whose sum is σ = 11792364480. Its totient is φ = 3626421792.

The previous prime is 6801413959. The next prime is 6801413987. The reversal of 6801413985 is 5893141086.

It is not a de Polignac number, because 6801413985 - 2⁵ = 6801413953 is a prime.

It is a super-3 number, since 3×6801413985³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6801413985.

It is not an unprimeable number, because it can be changed into a prime (6801413987) 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 23 ways as a sum of consecutive naturals, for example, 162052 + ... + 199658.

It is an arithmetic number, because the mean of its divisors is an integer number (491348520).

Almost surely, 2^6801413985 is an apocalyptic number.

It is an amenable number.

6801413985 is a deficient number, since it is larger than the sum of its proper divisors (4990950495).

6801413985 is a wasteful number, since it uses less digits than its factorization.

6801413985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41637 (or 41634 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 6801413985 is about 82470.6856101003. The cubic root of 6801413985 is about 1894.6677812590.

The spelling of 6801413985 in words is "six billion, eight hundred one million, four hundred thirteen thousand, nine hundred eighty-five".