1819248147648 has 112 divisors (see below), whose sum is σ = 5350087344000. Its totient is φ = 606208022784.

The previous prime is 1819248147641. The next prime is 1819248147677. The reversal of 1819248147648 is 8467418429181.

1819248147648 is a `hidden beast` number, since 1 + 8 + 1 + 92 + 481 + 4 + 7 + 64 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1819248147641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4899483 + ... + 5257701.

It is an arithmetic number, because the mean of its divisors is an integer number (47768637000).

Almost surely, 2^{1819248147648} is an apocalyptic number.

1819248147648 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 1819248147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675043672000).

1819248147648 is an abundant number, since it is smaller than the sum of its proper divisors (3530839196352).

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

1819248147648 is a wasteful number, since it uses less digits than its factorization.

1819248147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361179 (or 361163 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 1819248147648 in words is "one trillion, eight hundred nineteen billion, two hundred forty-eight million, one hundred forty-seven thousand, six hundred forty-eight".