1148631840 has 288 divisors, whose sum is σ = 4200408576. Its totient is φ = 296110080.

The previous prime is 1148631793. The next prime is 1148631857. The reversal of 1148631840 is 481368411.

It is a happy number.

1148631840 is a `hidden beast` number, since 1 + 14 + 8 + 631 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 1148631795 and 1148631804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204804 + ... + 1205756.

It is an arithmetic number, because the mean of its divisors is an integer number (14584752).

Almost surely, 2^1148631840 is an apocalyptic number.

1148631840 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 1148631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100204288).

1148631840 is an abundant number, since it is smaller than the sum of its proper divisors (3051776736).

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

1148631840 is an equidigital number, since it uses as much as digits as its factorization.

1148631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1148631840 is about 33891.4714935778. The cubic root of 1148631840 is about 1047.2739080242.

The spelling of 1148631840 in words is "one billion, one hundred forty-eight million, six hundred thirty-one thousand, eight hundred forty".