1138963968 has 120 divisors (see below), whose sum is σ = 3460399800. Its totient is φ = 359645184.

The previous prime is 1138963937. The next prime is 1138963981. The reversal of 1138963968 is 8693698311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81048 + ... + 94056.

It is an arithmetic number, because the mean of its divisors is an integer number (28836665).

Almost surely, 2^1138963968 is an apocalyptic number.

1138963968 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 1138963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730199900).

1138963968 is an abundant number, since it is smaller than the sum of its proper divisors (2321435832).

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

1138963968 is a wasteful number, since it uses less digits than its factorization.

1138963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13052 (or 13033 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 1138963968 is about 33748.5402350976. The cubic root of 1138963968 is about 1044.3273734415.

It can be divided in two parts, 11389 and 63968, that added together give a palindrome (75357).

The spelling of 1138963968 in words is "one billion, one hundred thirty-eight million, nine hundred sixty-three thousand, nine hundred sixty-eight".