2685903966144 has 700 divisors, whose sum is σ = 9589284360128. Its totient is φ = 742539571200.

The previous prime is 2685903966139. The next prime is 2685903966157. The reversal of 2685903966144 is 4416693095862.

2685903966144 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 9 + 0 + 3 + 9 + 6 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 99 ways as a sum of consecutive naturals, for example, 385846824 + ... + 385853784.

Almost surely, 2^{2685903966144} is an apocalyptic number.

2685903966144 is a gapful number since it is divisible by the number (24) 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 2685903966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794642180064).

2685903966144 is an abundant number, since it is smaller than the sum of its proper divisors (6903380393984).

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

2685903966144 is an frugal number, since it uses more digits than its factorization.

2685903966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 2685903966144 in words is "two trillion, six hundred eighty-five billion, nine hundred three million, nine hundred sixty-six thousand, one hundred forty-four".