1149084120960 has 192 divisors, whose sum is σ = 3968496558000. Its totient is φ = 306378768384.

The previous prime is 1149084120953. The next prime is 1149084120973. The reversal of 1149084120960 is 690214809411.

It is a happy number.

1149084120960 is a `hidden beast` number, since 1 + 1 + 490 + 84 + 1 + 20 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1149084120960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72677536 + ... + 72693344.

Almost surely, 2^{1149084120960} is an apocalyptic number.

1149084120960 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 1149084120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984248279000).

1149084120960 is an abundant number, since it is smaller than the sum of its proper divisors (2819412437040).

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

1149084120960 is a wasteful number, since it uses less digits than its factorization.

1149084120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28453 (or 28438 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1149084120960 in words is "one trillion, one hundred forty-nine billion, eighty-four million, one hundred twenty thousand, nine hundred sixty".