1147445352000 has 560 divisors, whose sum is σ = 4348567182960. Its totient is φ = 298515456000.

The previous prime is 1147445351999. The next prime is 1147445352007. The reversal of 1147445352000 is 2535447411.

1147445352000 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 445 + 3 + 5 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 998288732736 + 149156619264 = 999144^2 + 386208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1147445352007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26546406 + ... + 26589594.

It is an arithmetic number, because the mean of its divisors is an integer number (7765298541).

Almost surely, 2^{1147445352000} is an apocalyptic number.

1147445352000 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 1147445352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174283591480).

1147445352000 is an abundant number, since it is smaller than the sum of its proper divisors (3201121830960).

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

1147445352000 is an equidigital number, since it uses as much as digits as its factorization.

1147445352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43269 (or 43240 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 1147445352000 in words is "one trillion, one hundred forty-seven billion, four hundred forty-five million, three hundred fifty-two thousand".