1132933152384 has 288 divisors, whose sum is σ = 3588603127200. Its totient is φ = 342819671040.

The previous prime is 1132933152367. The next prime is 1132933152391. The reversal of 1132933152384 is 4832513392311.

1132933152384 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 93 + 31 + 523 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103562787 + ... + 103573725.

It is an arithmetic number, because the mean of its divisors is an integer number (12460427525).

Almost surely, 2^{1132933152384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132933152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794301563600).

1132933152384 is an abundant number, since it is smaller than the sum of its proper divisors (2455669974816).

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

1132933152384 is a wasteful number, since it uses less digits than its factorization.

1132933152384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11724 (or 11698 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 1132933152384 in words is "one trillion, one hundred thirty-two billion, nine hundred thirty-three million, one hundred fifty-two thousand, three hundred eighty-four".