1404689846868 has 480 divisors, whose sum is σ = 4878849024000. Its totient is φ = 345638301120.

The previous prime is 1404689846831. The next prime is 1404689846927. The reversal of 1404689846868 is 8686489864041.

1404689846868 is a `hidden beast` number, since 1 + 4 + 0 + 468 + 9 + 84 + 6 + 86 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1404689846796 and 1404689846805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54182413 + ... + 54208331.

It is an arithmetic number, because the mean of its divisors is an integer number (10164268800).

Almost surely, 2^{1404689846868} is an apocalyptic number.

1404689846868 is a gapful number since it is divisible by the number (18) 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 1404689846868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439424512000).

1404689846868 is an abundant number, since it is smaller than the sum of its proper divisors (3474159177132).

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

1404689846868 is a wasteful number, since it uses less digits than its factorization.

1404689846868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25990 (or 25961 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 1404689846868 in words is "one trillion, four hundred four billion, six hundred eighty-nine million, eight hundred forty-six thousand, eight hundred sixty-eight".