1149549456960 has 168 divisors, whose sum is σ = 3954453604920. Its totient is φ = 306509119488.

The previous prime is 1149549456949. The next prime is 1149549456989. The reversal of 1149549456960 is 696549459411.

1149549456960 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 5 + 4 + 9 + 4 + 569 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 698481405504 + 451068051456 = 835752^2 + 671616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30016384 + ... + 30054656.

It is an arithmetic number, because the mean of its divisors is an integer number (23538414315).

Almost surely, 2^{1149549456960} is an apocalyptic number.

1149549456960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1149549456960 is an abundant number, since it is smaller than the sum of its proper divisors (2804904147960).

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

1149549456960 is a wasteful number, since it uses less digits than its factorization.

1149549456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48725 (or 48712 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 1149549456960 in words is "one trillion, one hundred forty-nine billion, five hundred forty-nine million, four hundred fifty-six thousand, nine hundred sixty".