1205116848 has 120 divisors (see below), whose sum is σ = 3709637568. Its totient is φ = 362889216.

The previous prime is 1205116841. The next prime is 1205116849. The reversal of 1205116848 is 8486115021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1205116841) 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 23 ways as a sum of consecutive naturals, for example, 81136 + ... + 94832.

Almost surely, 2^1205116848 is an apocalyptic number.

1205116848 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 1205116848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854818784).

1205116848 is an abundant number, since it is smaller than the sum of its proper divisors (2504520720).

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

1205116848 is a wasteful number, since it uses less digits than its factorization.

1205116848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13771 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1205116848 is about 34714.7929275115. The cubic root of 1205116848 is about 1064.1668336581.

The spelling of 1205116848 in words is "one billion, two hundred five million, one hundred sixteen thousand, eight hundred forty-eight".