1814216082048 has 160 divisors (see below), whose sum is σ = 5419008851520. Its totient is φ = 602506252800.

The previous prime is 1814216082043. The next prime is 1814216082079. The reversal of 1814216082048 is 8402806124181.

1814216082048 is a `hidden beast` number, since 1 + 8 + 14 + 2 + 1 + 608 + 20 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1814216081994 and 1814216082012.

It is not an unprimeable number, because it can be changed into a prime (1814216082043) 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 19 ways as a sum of consecutive naturals, for example, 2486883 + ... + 3132573.

It is an arithmetic number, because the mean of its divisors is an integer number (33868805322).

Almost surely, 2^{1814216082048} is an apocalyptic number.

1814216082048 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 1814216082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709504425760).

1814216082048 is an abundant number, since it is smaller than the sum of its proper divisors (3604792769472).

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

1814216082048 is an equidigital number, since it uses as much as digits as its factorization.

1814216082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645988 (or 645967 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 1814216082048 in words is "one trillion, eight hundred fourteen billion, two hundred sixteen million, eighty-two thousand, forty-eight".