1148364000 has 768 divisors, whose sum is σ = 5031936000. Its totient is φ = 254016000.

The previous prime is 1148363999. The next prime is 1148364017. The reversal of 1148364000 is 4638411.

1148364000 is a `hidden beast` number, since 1 + 14 + 8 + 3 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 37043985 + ... + 37044015.

It is an arithmetic number, because the mean of its divisors is an integer number (6552000).

Almost surely, 2^1148364000 is an apocalyptic number.

1148364000 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 1148364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515968000).

1148364000 is an abundant number, since it is smaller than the sum of its proper divisors (3883572000).

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

1148364000 is an equidigital number, since it uses as much as digits as its factorization.

1148364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1148364000 is about 33887.5198266264. The cubic root of 1148364000 is about 1047.1924999701.

The spelling of 1148364000 in words is "one billion, one hundred forty-eight million, three hundred sixty-four thousand".