1148346144 has 216 divisors, whose sum is σ = 3708746496. Its totient is φ = 336441600.

The previous prime is 1148346109. The next prime is 1148346151. The reversal of 1148346144 is 4416438411.

It is a happy number.

1148346144 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 34 + 614 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1148346099 and 1148346108.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1079757 + ... + 1080819.

Almost surely, 2^1148346144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148346144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854373248).

1148346144 is an abundant number, since it is smaller than the sum of its proper divisors (2560400352).

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

1148346144 is a wasteful number, since it uses less digits than its factorization.

1148346144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1110 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1148346144 is about 33887.2563657786. The cubic root of 1148346144 is about 1047.1870723165.

The spelling of 1148346144 in words is "one billion, one hundred forty-eight million, three hundred forty-six thousand, one hundred forty-four".