1148864038686 has 192 divisors, whose sum is σ = 3216591705600. Its totient is φ = 288181732608.

The previous prime is 1148864038681. The next prime is 1148864038703. The reversal of 1148864038686 is 6868304688411.

1148864038686 is a `hidden beast` number, since 1 + 1 + 488 + 6 + 40 + 38 + 6 + 86 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148864038681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3002145 + ... + 3363123.

It is an arithmetic number, because the mean of its divisors is an integer number (16753081800).

Almost surely, 2^{1148864038686} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148864038686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608295852800).

1148864038686 is an abundant number, since it is smaller than the sum of its proper divisors (2067727666914).

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

1148864038686 is a wasteful number, since it uses less digits than its factorization.

1148864038686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361103 (or 361100 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 1148864038686 in words is "one trillion, one hundred forty-eight billion, eight hundred sixty-four million, thirty-eight thousand, six hundred eighty-six".