1148796000 has 384 divisors, whose sum is σ = 4566481920. Its totient is φ = 278208000.

The previous prime is 1148795983. The next prime is 1148796001. The reversal of 1148796000 is 6978411.

1148796000 is a `hidden beast` number, since 1 + 1 + 48 + 7 + 9 + 600 + 0 = 666.

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 (1148796001) 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 63 ways as a sum of consecutive naturals, for example, 1187517 + ... + 1188483.

It is an arithmetic number, because the mean of its divisors is an integer number (11891880).

Almost surely, 2^1148796000 is an apocalyptic number.

1148796000 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 1148796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283240960).

1148796000 is an abundant number, since it is smaller than the sum of its proper divisors (3417685920).

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

1148796000 is a wasteful number, since it uses less digits than its factorization.

1148796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1148796000 is about 33893.8932552754. The cubic root of 1148796000 is about 1047.3237970282.

The spelling of 1148796000 in words is "one billion, one hundred forty-eight million, seven hundred ninety-six thousand".