1157431968 has 576 divisors, whose sum is σ = 4491002880. Its totient is φ = 273715200.

The previous prime is 1157431937. The next prime is 1157431981. The reversal of 1157431968 is 8691347511.

1157431968 is a `hidden beast` number, since 1 + 1 + 574 + 3 + 19 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17275071 + ... + 17275137.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2^1157431968 is an apocalyptic number.

1157431968 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 1157431968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245501440).

1157431968 is an abundant number, since it is smaller than the sum of its proper divisors (3333570912).

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

1157431968 is a wasteful number, since it uses less digits than its factorization.

1157431968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 1157431968 is about 34021.0518355914. The cubic root of 1157431968 is about 1049.9416348510.

It can be divided in two parts, 115743 and 1968, that added together give a palindrome (117711).

The spelling of 1157431968 in words is "one billion, one hundred fifty-seven million, four hundred thirty-one thousand, nine hundred sixty-eight".