1148340162240 has 896 divisors, whose sum is σ = 4340008673280. Its totient is φ = 288893952000.

The previous prime is 1148340162227. The next prime is 1148340162257. The reversal of 1148340162240 is 422610438411.

1148340162240 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 3 + 401 + 6 + 2 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1148340162195 and 1148340162204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 889495995 + ... + 889497285.

It is an arithmetic number, because the mean of its divisors is an integer number (4843759680).

Almost surely, 2^{1148340162240} is an apocalyptic number.

1148340162240 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 1148340162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170004336640).

1148340162240 is an abundant number, since it is smaller than the sum of its proper divisors (3191668511040).

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

1148340162240 is an equidigital number, since it uses as much as digits as its factorization.

1148340162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1373 counting only the distinct ones).

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

The spelling of 1148340162240 in words is "one trillion, one hundred forty-eight billion, three hundred forty million, one hundred sixty-two thousand, two hundred forty".