1138263456 has 288 divisors, whose sum is σ = 3539289600. Its totient is φ = 319334400.

The previous prime is 1138263433. The next prime is 1138263461. The reversal of 1138263456 is 6543628311.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10442730 + ... + 10442838.

It is an arithmetic number, because the mean of its divisors is an integer number (12289200).

Almost surely, 2^1138263456 is an apocalyptic number.

1138263456 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 1138263456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769644800).

1138263456 is an abundant number, since it is smaller than the sum of its proper divisors (2401026144).

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

1138263456 is a wasteful number, since it uses less digits than its factorization.

1138263456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 1138263456 is about 33738.1602343696. The cubic root of 1138263456 is about 1044.1132273959.

The spelling of 1138263456 in words is "one billion, one hundred thirty-eight million, two hundred sixty-three thousand, four hundred fifty-six".