1148001288192 has 576 divisors, whose sum is σ = 3720194412480. Its totient is φ = 340753121280.

The previous prime is 1148001288173. The next prime is 1148001288209. The reversal of 1148001288192 is 2918821008411.

It is a happy number.

1148001288192 is a `hidden beast` number, since 1 + 1 + 480 + 0 + 1 + 2 + 8 + 81 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1891270353 + ... + 1891270959.

It is an arithmetic number, because the mean of its divisors is an integer number (6458670855).

Almost surely, 2^{1148001288192} is an apocalyptic number.

1148001288192 is a gapful number since it is divisible by the number (12) 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 1148001288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860097206240).

1148001288192 is an abundant number, since it is smaller than the sum of its proper divisors (2572193124288).

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

1148001288192 is an equidigital number, since it uses as much as digits as its factorization.

1148001288192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 1148001288192 in words is "one trillion, one hundred forty-eight billion, one million, two hundred eighty-eight thousand, one hundred ninety-two".