1157181816 has 64 divisors (see below), whose sum is σ = 3322944000. Its totient is φ = 328952448.

The previous prime is 1157181799. The next prime is 1157181847. The reversal of 1157181816 is 6181817511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16126 + ... + 50738.

It is an arithmetic number, because the mean of its divisors is an integer number (51921000).

Almost surely, 2^1157181816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157181816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661472000).

1157181816 is an abundant number, since it is smaller than the sum of its proper divisors (2165762184).

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

1157181816 is a wasteful number, since it uses less digits than its factorization.

1157181816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34828 (or 34824 counting only the distinct ones).

The product of its digits is 13440, while the sum is 39.

The square root of 1157181816 is about 34017.3752073848. The cubic root of 1157181816 is about 1049.8659892462.

The spelling of 1157181816 in words is "one billion, one hundred fifty-seven million, one hundred eighty-one thousand, eight hundred sixteen".