1148909680800 has 1152 divisors, whose sum is σ = 5201892057600. Its totient is φ = 238622146560.

The previous prime is 1148909680799. The next prime is 1148909680801. The reversal of 1148909680800 is 80869098411.

1148909680800 is a `hidden beast` number, since 1 + 1 + 489 + 0 + 9 + 6 + 80 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1148909680799) and next prime (1148909680801).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1148909680801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74533894 + ... + 74549306.

It is an arithmetic number, because the mean of its divisors is an integer number (4515531300).

Almost surely, 2^{1148909680800} is an apocalyptic number.

1148909680800 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 1148909680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600946028800).

1148909680800 is an abundant number, since it is smaller than the sum of its proper divisors (4052982376800).

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

1148909680800 is a wasteful number, since it uses less digits than its factorization.

1148909680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15495 (or 15476 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 1148909680800 in words is "one trillion, one hundred forty-eight billion, nine hundred nine million, six hundred eighty thousand, eight hundred".