11381446638 has 72 divisors (see below), whose sum is σ = 25940269992. Its totient is φ = 3606112224.

The previous prime is 11381446621. The next prime is 11381446639. The reversal of 11381446638 is 83664418311.

11381446638 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 1 + 4 + 4 + 6 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11381446593 and 11381446602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11381446639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1548420 + ... + 1555752.

Almost surely, 2^11381446638 is an apocalyptic number.

11381446638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11381446638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970134996).

11381446638 is an abundant number, since it is smaller than the sum of its proper divisors (14558823354).

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

11381446638 is a wasteful number, since it uses less digits than its factorization.

11381446638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7524 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 11381446638 in words is "eleven billion, three hundred eighty-one million, four hundred forty-six thousand, six hundred thirty-eight".