1147001241600 has 1296 divisors, whose sum is σ = 4563804772800. Its totient is φ = 274055823360.

The previous prime is 1147001241541. The next prime is 1147001241601. The reversal of 1147001241600 is 61421007411.

1147001241600 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 0 + 0 + 12 + 41 + 600 = 666.

It is a super-2 number, since 2×1147001241600² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1147001241601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12887654356 + ... + 12887654444.

It is an arithmetic number, because the mean of its divisors is an integer number (3521454300).

Almost surely, 2^{1147001241600} is an apocalyptic number.

1147001241600 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 1147001241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281902386400).

1147001241600 is an abundant number, since it is smaller than the sum of its proper divisors (3416803531200).

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

1147001241600 is an equidigital number, since it uses as much as digits as its factorization.

1147001241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 1147001241600 in words is "one trillion, one hundred forty-seven billion, one million, two hundred forty-one thousand, six hundred".