1163456416 has 96 divisors (see below), whose sum is σ = 2431250640. Its totient is φ = 547430400.

The previous prime is 1163456389. The next prime is 1163456447. The reversal of 1163456416 is 6146543611.

It can be written as a sum of positive squares in 8 ways, for example, as 48163600 + 1115292816 = 6940^2 + 33396^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 6427846 + ... + 6428026.

Almost surely, 2^1163456416 is an apocalyptic number.

1163456416 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 1163456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215625320).

1163456416 is an abundant number, since it is smaller than the sum of its proper divisors (1267794224).

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

1163456416 is a wasteful number, since it uses less digits than its factorization.

1163456416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 1163456416 is about 34109.4769235765. The cubic root of 1163456416 is about 1051.7601365360.

The spelling of 1163456416 in words is "one billion, one hundred sixty-three million, four hundred fifty-six thousand, four hundred sixteen".