1808742716352 has 1008 divisors, whose sum is σ = 6433015994496. Its totient is φ = 500488243200.

The previous prime is 1808742716351. The next prime is 1808742716381. The reversal of 1808742716352 is 2536172478081.

1808742716352 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 7 + 427 + 163 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1808742716351) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2617572327 + ... + 2617573017.

It is an arithmetic number, because the mean of its divisors is an integer number (6381960312).

Almost surely, 2^{1808742716352} is an apocalyptic number.

1808742716352 is a gapful number since it is divisible by the number (12) 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 1808742716352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216507997248).

1808742716352 is an abundant number, since it is smaller than the sum of its proper divisors (4624273278144).

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

1808742716352 is a wasteful number, since it uses less digits than its factorization.

1808742716352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1808742716352 in words is "one trillion, eight hundred eight billion, seven hundred forty-two million, seven hundred sixteen thousand, three hundred fifty-two".