1048661213184 has 600 divisors, whose sum is σ = 3406514989920. Its totient is φ = 318777458688.

The previous prime is 1048661213183. The next prime is 1048661213209. The reversal of 1048661213184 is 4813121668401.

1048661213184 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 6 + 612 + 13 + 18 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (1048661213183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12634472407 + ... + 12634472489.

Almost surely, 2^{1048661213184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1048661213184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703257494960).

1048661213184 is an abundant number, since it is smaller than the sum of its proper divisors (2357853776736).

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

1048661213184 is an frugal number, since it uses more digits than its factorization.

1048661213184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1048661213184 in words is "one trillion, forty-eight billion, six hundred sixty-one million, two hundred thirteen thousand, one hundred eighty-four".