1148116435200 has 1296 divisors, whose sum is σ = 5008158762880. Its totient is φ = 245089566720.

The previous prime is 1148116435177. The next prime is 1148116435229. The reversal of 1148116435200 is 25346118411.

1148116435200 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 1 + 1 + 643 + 5 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 559237374 + ... + 559239426.

Almost surely, 2^{1148116435200} is an apocalyptic number.

1148116435200 is a gapful number since it is divisible by the number (10) 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 1148116435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504079381440).

1148116435200 is an abundant number, since it is smaller than the sum of its proper divisors (3860042327680).

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

1148116435200 is a wasteful number, since it uses less digits than its factorization.

1148116435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1148116435200 in words is "one trillion, one hundred forty-eight billion, one hundred sixteen million, four hundred thirty-five thousand, two hundred".