1135021966848 has 1280 divisors, whose sum is σ = 4395318681600. Its totient is φ = 280580751360.

The previous prime is 1135021966811. The next prime is 1135021966889. The reversal of 1135021966848 is 8486691205311.

It is a happy number.

1135021966848 is a `hidden beast` number, since 1 + 1 + 3 + 502 + 1 + 96 + 6 + 8 + 48 = 666.

It is a super-2 number, since 2×1135021966848² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1135021966794 and 1135021966803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2562126115 + ... + 2562126557.

It is an arithmetic number, because the mean of its divisors is an integer number (3433842720).

Almost surely, 2^{1135021966848} is an apocalyptic number.

1135021966848 is a gapful number since it is divisible by the number (18) 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 1135021966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197659340800).

1135021966848 is an abundant number, since it is smaller than the sum of its proper divisors (3260296714752).

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

1135021966848 is a wasteful number, since it uses less digits than its factorization.

1135021966848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1135021966848 in words is "one trillion, one hundred thirty-five billion, twenty-one million, nine hundred sixty-six thousand, eight hundred forty-eight".