1157666112 has 84 divisors (see below), whose sum is σ = 3327623520. Its totient is φ = 384797952.

The previous prime is 1157666093. The next prime is 1157666123. The reversal of 1157666112 is 2116667511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215653 + ... + 220955.

Almost surely, 2^1157666112 is an apocalyptic number.

1157666112 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 1157666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663811760).

1157666112 is an abundant number, since it is smaller than the sum of its proper divisors (2169957408).

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

1157666112 is a wasteful number, since it uses less digits than its factorization.

1157666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5687 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 1157666112 is about 34024.4928250224. The cubic root of 1157666112 is about 1050.0124297848.

The spelling of 1157666112 in words is "one billion, one hundred fifty-seven million, six hundred sixty-six thousand, one hundred twelve".