1147281408000 has 2720 divisors, whose sum is σ = 5541975479040. Its totient is φ = 229323571200.

The previous prime is 1147281407963. The next prime is 1147281408001. The reversal of 1147281408000 is 8041827411.

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 (1147281408001) 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 159 ways as a sum of consecutive naturals, for example, 60383231991 + ... + 60383232009.

Almost surely, 2^{1147281408000} is an apocalyptic number.

1147281408000 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 1147281408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770987739520).

1147281408000 is an abundant number, since it is smaller than the sum of its proper divisors (4394694071040).

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

1147281408000 is an frugal number, since it uses more digits than its factorization.

1147281408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 1147281408000 in words is "one trillion, one hundred forty-seven billion, two hundred eighty-one million, four hundred eight thousand".