1148095295952 has 160 divisors (see below), whose sum is σ = 3413299153920. Its totient is φ = 328874204160.

The previous prime is 1148095295947. The next prime is 1148095295957. The reversal of 1148095295952 is 2595925908411.

It is an interprime number because it is at equal distance from previous prime (1148095295947) and next prime (1148095295957).

It is a super-2 number, since 2×1148095295952² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148095295957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4459413 + ... + 4709835.

It is an arithmetic number, because the mean of its divisors is an integer number (21333119712).

Almost surely, 2^{1148095295952} is an apocalyptic number.

1148095295952 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 1148095295952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706649576960).

1148095295952 is an abundant number, since it is smaller than the sum of its proper divisors (2265203857968).

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

1148095295952 is a wasteful number, since it uses less digits than its factorization.

1148095295952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250921 (or 250915 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 60.

The spelling of 1148095295952 in words is "one trillion, one hundred forty-eight billion, ninety-five million, two hundred ninety-five thousand, nine hundred fifty-two".