1157165618112 has 224 divisors, whose sum is σ = 3892280394240. Its totient is φ = 330240430080.

The previous prime is 1157165618093. The next prime is 1157165618131. The reversal of 1157165618112 is 2118165617511.

1157165618112 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 1 + 6 + 561 + 81 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1157165618093) and next prime (1157165618131).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10602283 + ... + 10710869.

It is an arithmetic number, because the mean of its divisors is an integer number (17376251760).

Almost surely, 2^{1157165618112} is an apocalyptic number.

1157165618112 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 1157165618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946140197120).

1157165618112 is an abundant number, since it is smaller than the sum of its proper divisors (2735114776128).

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

1157165618112 is a wasteful number, since it uses less digits than its factorization.

1157165618112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109496 (or 109480 counting only the distinct ones).

The product of its digits is 100800, while the sum is 45.

The spelling of 1157165618112 in words is "one trillion, one hundred fifty-seven billion, one hundred sixty-five million, six hundred eighteen thousand, one hundred twelve".