1149301008000 has 512 divisors, whose sum is σ = 4277056492800. Its totient is φ = 303309619200.

The previous prime is 1149301007969. The next prime is 1149301008007. The reversal of 1149301008000 is 8001039411.

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

It is not an unprimeable number, because it can be changed into a prime (1149301008007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41890287 + ... + 41917713.

Almost surely, 2^{1149301008000} is an apocalyptic number.

1149301008000 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 1149301008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138528246400).

1149301008000 is an abundant number, since it is smaller than the sum of its proper divisors (3127755484800).

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

1149301008000 is an equidigital number, since it uses as much as digits as its factorization.

1149301008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27562 (or 27534 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1149301008000 in words is "one trillion, one hundred forty-nine billion, three hundred one million, eight thousand".