1148823360 has 168 divisors, whose sum is σ = 4058646696. Its totient is φ = 298045440.

The previous prime is 1148823341. The next prime is 1148823367. The reversal of 1148823360 is 633288411.

It can be written as a sum of positive squares in 4 ways, for example, as 208051776 + 940771584 = 14424^2 + 30672^2 .

It is a super-2 number, since 2×1148823360² = 2639590224963379200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148823367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101170 + ... + 111950.

Almost surely, 2^1148823360 is an apocalyptic number.

1148823360 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 1148823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029323348).

1148823360 is an abundant number, since it is smaller than the sum of its proper divisors (2909823336).

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

1148823360 is a wasteful number, since it uses less digits than its factorization.

1148823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10841 (or 10828 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1148823360 is about 33894.2968654020. The cubic root of 1148823360 is about 1047.3321114001.

The spelling of 1148823360 in words is "one billion, one hundred forty-eight million, eight hundred twenty-three thousand, three hundred sixty".