1149486328800 has 216 divisors, whose sum is σ = 4084321321080. Its totient is φ = 304189516800.

The previous prime is 1149486328747. The next prime is 1149486328813. The reversal of 1149486328800 is 88236849411.

It is a happy number.

1149486328800 is a `hidden beast` number, since 11 + 49 + 486 + 32 + 8 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 333846 + ... + 1552554.

It is an arithmetic number, because the mean of its divisors is an integer number (18908895005).

Almost surely, 2^{1149486328800} is an apocalyptic number.

1149486328800 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 1149486328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042160660540).

1149486328800 is an abundant number, since it is smaller than the sum of its proper divisors (2934834992280).

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

1149486328800 is a wasteful number, since it uses less digits than its factorization.

1149486328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218866 (or 1218850 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1149486328800 in words is "one trillion, one hundred forty-nine billion, four hundred eighty-six million, three hundred twenty-eight thousand, eight hundred".