1156386816 has 312 divisors, whose sum is σ = 3816350720. Its totient is φ = 334430208.

The previous prime is 1156386809. The next prime is 1156386823. The reversal of 1156386816 is 6186836511.

1156386816 is a `hidden beast` number, since 1 + 1 + 5 + 638 + 6 + 8 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1156386809) and next prime (1156386823).

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9105345 + ... + 9105471.

Almost surely, 2^1156386816 is an apocalyptic number.

1156386816 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 1156386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908175360).

1156386816 is an abundant number, since it is smaller than the sum of its proper divisors (2659963904).

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

1156386816 is a wasteful number, since it uses less digits than its factorization.

1156386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1156386816 is about 34005.6879948046. The cubic root of 1156386816 is about 1049.6255099888.

The spelling of 1156386816 in words is "one billion, one hundred fifty-six million, three hundred eighty-six thousand, eight hundred sixteen".