1151238816 has 432 divisors, whose sum is σ = 4220536320. Its totient is φ = 291133440.

The previous prime is 1151238799. The next prime is 1151238817. The reversal of 1151238816 is 6188321511.

1151238816 = 13³ + 14³ + ... + 260³.

It is a super-2 number, since 2×1151238816² = 2650701622930163712, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1151238817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10561770 + ... + 10561878.

It is an arithmetic number, because the mean of its divisors is an integer number (9769760).

Almost surely, 2^1151238816 is an apocalyptic number.

1151238816 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 1151238816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110268160).

1151238816 is an abundant number, since it is smaller than the sum of its proper divisors (3069297504).

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

1151238816 is a wasteful number, since it uses less digits than its factorization.

1151238816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1151238816 is about 33929.9103447091. The cubic root of 1151238816 is about 1048.0656194951.

The spelling of 1151238816 in words is "one billion, one hundred fifty-one million, two hundred thirty-eight thousand, eight hundred sixteen".