1809970126848 has 336 divisors, whose sum is σ = 5839301469456. Its totient is φ = 556905922560.

The previous prime is 1809970126819. The next prime is 1809970126859. The reversal of 1809970126848 is 8486210799081.

1809970126848 is a `hidden beast` number, since 180 + 99 + 70 + 1 + 268 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25843558 + ... + 25913498.

It is an arithmetic number, because the mean of its divisors is an integer number (17378873421).

Almost surely, 2^{1809970126848} is an apocalyptic number.

1809970126848 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 1809970126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919650734728).

1809970126848 is an abundant number, since it is smaller than the sum of its proper divisors (4029331342608).

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

1809970126848 is an frugal number, since it uses more digits than its factorization.

1809970126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69995 (or 69959 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 1809970126848 in words is "one trillion, eight hundred nine billion, nine hundred seventy million, one hundred twenty-six thousand, eight hundred forty-eight".