1133645713984 has 63 divisors (see below), whose sum is σ = 2616993931737. Its totient is φ = 485822609664.

The previous prime is 1133645713919. The next prime is 1133645713997. The reversal of 1133645713984 is 4893175463311.

The square root of 1133645713984 is 1064728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 119246400 + 1133526467584 = 10920^2 + 1064672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59615262 + ... + 59634274.

Almost surely, 2^{1133645713984} is an apocalyptic number.

1133645713984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1133645713984 is the 1064728-th square number.

It is an amenable number.

1133645713984 is an abundant number, since it is smaller than the sum of its proper divisors (1483348217753).

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

1133645713984 is an frugal number, since it uses more digits than its factorization.

1133645713984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38052 (or 19022 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The spelling of 1133645713984 in words is "one trillion, one hundred thirty-three billion, six hundred forty-five million, seven hundred thirteen thousand, nine hundred eighty-four".