2805377194368 has 384 divisors, whose sum is σ = 10083859568640. Its totient is φ = 730050969600.

The previous prime is 2805377194363. The next prime is 2805377194511. The reversal of 2805377194368 is 8634917735082.

2805377194368 is a `hidden beast` number, since 2 + 8 + 0 + 537 + 7 + 1 + 94 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805377194363) 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 47 ways as a sum of consecutive naturals, for example, 3919663 + ... + 4579793.

It is an arithmetic number, because the mean of its divisors is an integer number (26260050960).

It is a 1-persistent number, because it is pandigital, but 2⋅2805377194368 = 5610754388736 is not.

Almost surely, 2^{2805377194368} is an apocalyptic number.

2805377194368 is a gapful number since it is divisible by the number (28) 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 2805377194368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041929784320).

2805377194368 is an abundant number, since it is smaller than the sum of its proper divisors (7278482374272).

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

2805377194368 is a wasteful number, since it uses less digits than its factorization.

2805377194368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660206 (or 660191 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 2805377194368 in words is "two trillion, eight hundred five billion, three hundred seventy-seven million, one hundred ninety-four thousand, three hundred sixty-eight".