1149355284480 has 768 divisors, whose sum is σ = 4450550832000. Its totient is φ = 279661510656.

The previous prime is 1149355284463. The next prime is 1149355284527. The reversal of 1149355284480 is 844825539411.

1149355284480 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 3 + 552 + 8 + 4 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319885564 + ... + 319889156.

Almost surely, 2^{1149355284480} is an apocalyptic number.

1149355284480 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 1149355284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225275416000).

1149355284480 is an abundant number, since it is smaller than the sum of its proper divisors (3301195547520).

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

1149355284480 is a wasteful number, since it uses less digits than its factorization.

1149355284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1149355284480 in words is "one trillion, one hundred forty-nine billion, three hundred fifty-five million, two hundred eighty-four thousand, four hundred eighty".