1781314846080 has 1024 divisors, whose sum is σ = 7550807040000. Its totient is φ = 345796116480.

The previous prime is 1781314845997. The next prime is 1781314846117. The reversal of 1781314846080 is 806484131871.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 349343371 + ... + 349348469.

It is an arithmetic number, because the mean of its divisors is an integer number (7373835000).

Almost surely, 2^{1781314846080} is an apocalyptic number.

1781314846080 is a gapful number since it is divisible by the number (10) 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 1781314846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775403520000).

1781314846080 is an abundant number, since it is smaller than the sum of its proper divisors (5769492193920).

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

1781314846080 is a wasteful number, since it uses less digits than its factorization.

1781314846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 1781314846080 in words is "one trillion, seven hundred eighty-one billion, three hundred fourteen million, eight hundred forty-six thousand, eighty".