1149366516480 has 1296 divisors, whose sum is σ = 5167186655904. Its totient is φ = 242461900800.

The previous prime is 1149366516443. The next prime is 1149366516481. The reversal of 1149366516480 is 846156639411.

1149366516480 is a `hidden beast` number, since 1 + 1 + 4 + 93 + 6 + 65 + 16 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×1149366516480² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1149366516481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198129580 + ... + 198135380.

Almost surely, 2^{1149366516480} is an apocalyptic number.

1149366516480 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 1149366516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583593327952).

1149366516480 is an abundant number, since it is smaller than the sum of its proper divisors (4017820139424).

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

1149366516480 is an equidigital number, since it uses as much as digits as its factorization.

1149366516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1149366516480 in words is "one trillion, one hundred forty-nine billion, three hundred sixty-six million, five hundred sixteen thousand, four hundred eighty".