1131974328960 has 192 divisors, whose sum is σ = 3912705108000. Its totient is φ = 301562025984.

The previous prime is 1131974328937. The next prime is 1131974329009. The reversal of 1131974328960 is 698234791311.

1131974328960 is a `hidden beast` number, since 1 + 1 + 31 + 97 + 432 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1131974328960³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131974328897 and 1131974328906.

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 23 ways as a sum of consecutive naturals, for example, 5773011 + ... + 5965869.

Almost surely, 2^{1131974328960} is an apocalyptic number.

1131974328960 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 1131974328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956352554000).

1131974328960 is an abundant number, since it is smaller than the sum of its proper divisors (2780730779040).

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

1131974328960 is a wasteful number, since it uses less digits than its factorization.

1131974328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193903 (or 193888 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1131974328960 in words is "one trillion, one hundred thirty-one billion, nine hundred seventy-four million, three hundred twenty-eight thousand, nine hundred sixty".