1168448900 has 144 divisors (see below), whose sum is σ = 2748490752. Its totient is φ = 430272000.

The previous prime is 1168448893. The next prime is 1168448923. The reversal of 1168448900 is 98448611.

It is a super-2 number, since 2×1168448900² = 2730545663822420000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6996617 + ... + 6996783.

Almost surely, 2^1168448900 is an apocalyptic number.

1168448900 is a gapful number since it is divisible by the number (10) 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 1168448900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374245376).

1168448900 is an abundant number, since it is smaller than the sum of its proper divisors (1580041852).

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

1168448900 is a wasteful number, since it uses less digits than its factorization.

1168448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 1168448900 is about 34182.5818217407. The cubic root of 1168448900 is about 1053.2623852853.

The spelling of 1168448900 in words is "one billion, one hundred sixty-eight million, four hundred forty-eight thousand, nine hundred".