1167723648 has 512 divisors, whose sum is σ = 4386816000. Its totient is φ = 297603072.

The previous prime is 1167723631. The next prime is 1167723673. The reversal of 1167723648 is 8463277611.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14781273 + ... + 14781351.

It is an arithmetic number, because the mean of its divisors is an integer number (8568000).

Almost surely, 2^1167723648 is an apocalyptic number.

1167723648 is a gapful number since it is divisible by the number (18) 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 1167723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193408000).

1167723648 is an abundant number, since it is smaller than the sum of its proper divisors (3219092352).

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

1167723648 is a wasteful number, since it uses less digits than its factorization.

1167723648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1167723648 is about 34171.9716727028. The cubic root of 1167723648 is about 1053.0444214667.

The spelling of 1167723648 in words is "one billion, one hundred sixty-seven million, seven hundred twenty-three thousand, six hundred forty-eight".