1138948800 has 504 divisors, whose sum is σ = 4297881168. Its totient is φ = 263577600.

The previous prime is 1138948781. The next prime is 1138948829. The reversal of 1138948800 is 88498311.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21489574 + ... + 21489626.

It is an arithmetic number, because the mean of its divisors is an integer number (8527542).

Almost surely, 2^1138948800 is an apocalyptic number.

1138948800 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 1138948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148940584).

1138948800 is an abundant number, since it is smaller than the sum of its proper divisors (3158932368).

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

1138948800 is a wasteful number, since it uses less digits than its factorization.

1138948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1138948800 is about 33748.3155135186. The cubic root of 1138948800 is about 1044.3227375243.

The spelling of 1138948800 in words is "one billion, one hundred thirty-eight million, nine hundred forty-eight thousand, eight hundred".