1153816416 has 36 divisors (see below), whose sum is σ = 3281166252. Its totient is φ = 384605376.

The previous prime is 1153816397. The next prime is 1153816423. The reversal of 1153816416 is 6146183511.

It is a happy number.

1153816416 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 8 + 1 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 2002866 + ... + 2003441.

It is an arithmetic number, because the mean of its divisors is an integer number (91143507).

Almost surely, 2^1153816416 is an apocalyptic number.

1153816416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1153816416 is an abundant number, since it is smaller than the sum of its proper divisors (2127349836).

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

1153816416 is a wasteful number, since it uses less digits than its factorization.

1153816416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006323 (or 4006312 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1153816416 is about 33967.8732922743. The cubic root of 1153816416 is about 1048.8472355569.

Adding to 1153816416 its reverse (6146183511), we get a palindrome (7299999927).

The spelling of 1153816416 in words is "one billion, one hundred fifty-three million, eight hundred sixteen thousand, four hundred sixteen".