1071238791168 has 1440 divisors, whose sum is σ = 4144684723200. Its totient is φ = 267204427776.

The previous prime is 1071238791167. The next prime is 1071238791187. The reversal of 1071238791168 is 8611978321701.

1071238791168 is a `hidden beast` number, since 1 + 0 + 7 + 12 + 387 + 91 + 168 = 666.

It is a super-2 number, since 2×1071238791168² (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 not an unprimeable number, because it can be changed into a prime (1071238791167) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12036390868 + ... + 12036390956.

It is an arithmetic number, because the mean of its divisors is an integer number (2878253280).

Almost surely, 2^{1071238791168} is an apocalyptic number.

1071238791168 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 1071238791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072342361600).

1071238791168 is an abundant number, since it is smaller than the sum of its proper divisors (3073445932032).

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

1071238791168 is an equidigital number, since it uses as much as digits as its factorization.

1071238791168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1071238791168 in words is "one trillion, seventy-one billion, two hundred thirty-eight million, seven hundred ninety-one thousand, one hundred sixty-eight".