1135821923712 has 1024 divisors, whose sum is σ = 4305229056000. Its totient is φ = 286972968960.

The previous prime is 1135821923711. The next prime is 1135821923713. The reversal of 1135821923712 is 2173291285311.

1135821923712 is a `hidden beast` number, since 1 + 13 + 5 + 82 + 192 + 371 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1135821923711) and next prime (1135821923713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135821923711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1070519662 + ... + 1070520722.

It is an arithmetic number, because the mean of its divisors is an integer number (4204325250).

Almost surely, 2^{1135821923712} is an apocalyptic number.

1135821923712 is a gapful number since it is divisible by the number (12) 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 1135821923712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152614528000).

1135821923712 is an abundant number, since it is smaller than the sum of its proper divisors (3169407132288).

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

1135821923712 is a wasteful number, since it uses less digits than its factorization.

1135821923712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1246 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 1135821923712 in words is "one trillion, one hundred thirty-five billion, eight hundred twenty-one million, nine hundred twenty-three thousand, seven hundred twelve".