1084491168768 has 264 divisors, whose sum is σ = 3736108251600. Its totient is φ = 309854232576.

The previous prime is 1084491168757. The next prime is 1084491168769. The reversal of 1084491168768 is 8678611944801.

1084491168768 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 491 + 1 + 6 + 87 + 68 = 666.

It is a super-2 number, since 2×1084491168768² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084491168769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954498 + ... + 1755006.

Almost surely, 2^{1084491168768} is an apocalyptic number.

1084491168768 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 1084491168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868054125800).

1084491168768 is an abundant number, since it is smaller than the sum of its proper divisors (2651617082832).

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

1084491168768 is an equidigital number, since it uses as much as digits as its factorization.

1084491168768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800552 (or 800521 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 1084491168768 in words is "one trillion, eighty-four billion, four hundred ninety-one million, one hundred sixty-eight thousand, seven hundred sixty-eight".