1146133618560 has 640 divisors, whose sum is σ = 4684257008640. Its totient is φ = 261610352640.

The previous prime is 1146133618559. The next prime is 1146133618579. The reversal of 1146133618560 is 658163316411.

1146133618560 is a `hidden beast` number, since 1 + 1 + 46 + 1 + 3 + 36 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 330581947 + ... + 330585413.

It is an arithmetic number, because the mean of its divisors is an integer number (7319151576).

Almost surely, 2^{1146133618560} is an apocalyptic number.

1146133618560 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 1146133618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342128504320).

1146133618560 is an abundant number, since it is smaller than the sum of its proper divisors (3538123390080).

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

1146133618560 is an equidigital number, since it uses as much as digits as its factorization.

1146133618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1146133618560 in words is "one trillion, one hundred forty-six billion, one hundred thirty-three million, six hundred eighteen thousand, five hundred sixty".