11381319969642 has 448 divisors, whose sum is σ = 30642144825600. Its totient is φ = 3100403174400.

The previous prime is 11381319969583. The next prime is 11381319969647. The reversal of 11381319969642 is 24696991318311.

11381319969642 is a `hidden beast` number, since 1 + 1 + 381 + 3 + 199 + 6 + 9 + 64 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 11381319969642.

It is not an unprimeable number, because it can be changed into a prime (11381319969647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 18937304142 + ... + 18937304742.

It is an arithmetic number, because the mean of its divisors is an integer number (68397644700).

Almost surely, 2^{11381319969642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11381319969642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321072412800).

11381319969642 is an abundant number, since it is smaller than the sum of its proper divisors (19260824855958).

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

11381319969642 is a wasteful number, since it uses less digits than its factorization.

11381319969642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1338 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 63.

The spelling of 11381319969642 in words is "eleven trillion, three hundred eighty-one billion, three hundred nineteen million, nine hundred sixty-nine thousand, six hundred forty-two".