686801259144 has 1152 divisors, whose sum is σ = 2633285088000. Its totient is φ = 162258370560.

The previous prime is 686801259101. The next prime is 686801259161. The reversal of 686801259144 is 441952108686.

686801259144 is a `hidden beast` number, since 6 + 8 + 6 + 8 + 0 + 1 + 2 + 591 + 44 = 666.

It is a super-2 number, since 2×686801259144² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2999132022 + ... + 2999132250.

It is an arithmetic number, because the mean of its divisors is an integer number (2285837750).

Almost surely, 2^686801259144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686801259144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316642544000).

686801259144 is an abundant number, since it is smaller than the sum of its proper divisors (1946483828856).

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

686801259144 is a wasteful number, since it uses less digits than its factorization.

686801259144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 686801259144 in words is "six hundred eighty-six billion, eight hundred one million, two hundred fifty-nine thousand, one hundred forty-four".