11381238188712 has 576 divisors, whose sum is σ = 39715924510080. Its totient is φ = 2873675169792.

The previous prime is 11381238188687. The next prime is 11381238188737. The reversal of 11381238188712 is 21788183218311.

11381238188712 is a `hidden beast` number, since 1 + 1 + 381 + 238 + 18 + 8 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (11381238188687) and next prime (11381238188737).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 349498143 + ... + 349530705.

It is an arithmetic number, because the mean of its divisors is an integer number (68951257830).

Almost surely, 2^{11381238188712} is an apocalyptic number.

11381238188712 is a gapful number since it is divisible by the number (12) 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 11381238188712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19857962255040).

11381238188712 is an abundant number, since it is smaller than the sum of its proper divisors (28334686321368).

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

11381238188712 is a wasteful number, since it uses less digits than its factorization.

11381238188712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32750 (or 32724 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 54.

The spelling of 11381238188712 in words is "eleven trillion, three hundred eighty-one billion, two hundred thirty-eight million, one hundred eighty-eight thousand, seven hundred twelve".