1071191715136 has 112 divisors (see below), whose sum is σ = 2338335866880. Its totient is φ = 485233436160.

The previous prime is 1071191715131. The next prime is 1071191715151. The reversal of 1071191715136 is 6315171911701.

It is a super-3 number, since 3×1071191715136³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1071191715092 and 1071191715101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071191715131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1894975 + ... + 2394433.

Almost surely, 2^{1071191715136} is an apocalyptic number.

1071191715136 is a gapful number since it is divisible by the number (16) 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 1071191715136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169167933440).

1071191715136 is an abundant number, since it is smaller than the sum of its proper divisors (1267144151744).

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

1071191715136 is a wasteful number, since it uses less digits than its factorization.

1071191715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499572 (or 499562 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 43.

The spelling of 1071191715136 in words is "one trillion, seventy-one billion, one hundred ninety-one million, seven hundred fifteen thousand, one hundred thirty-six".