1138963200 has 216 divisors, whose sum is σ = 3794996688. Its totient is φ = 300810240.

The previous prime is 1138963181. The next prime is 1138963207. The reversal of 1138963200 is 23698311.

It is not an unprimeable number, because it can be changed into a prime (1138963207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2630184 + ... + 2630616.

Almost surely, 2^1138963200 is an apocalyptic number.

1138963200 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 1138963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897498344).

1138963200 is an abundant number, since it is smaller than the sum of its proper divisors (2656033488).

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

1138963200 is a wasteful number, since it uses less digits than its factorization.

1138963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1138963200 is about 33748.5288568257. The cubic root of 1138963200 is about 1044.3271387125.

The spelling of 1138963200 in words is "one billion, one hundred thirty-eight million, nine hundred sixty-three thousand, two hundred".