11836384467138 has 320 divisors, whose sum is σ = 34476436684800. Its totient is φ = 2944987839360.

The previous prime is 11836384467121. The next prime is 11836384467143. The reversal of 11836384467138 is 83176448363811.

11836384467138 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 6 + 38 + 4 + 467 + 138 = 666.

It is a super-2 number, since 2×11836384467138² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45812923 + ... + 46070561.

It is an arithmetic number, because the mean of its divisors is an integer number (107738864640).

Almost surely, 2^{11836384467138} is an apocalyptic number.

11836384467138 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 11836384467138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238218342400).

11836384467138 is an abundant number, since it is smaller than the sum of its proper divisors (22640052217662).

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

11836384467138 is a wasteful number, since it uses less digits than its factorization.

11836384467138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257827 (or 257818 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 11836384467138 in words is "eleven trillion, eight hundred thirty-six billion, three hundred eighty-four million, four hundred sixty-seven thousand, one hundred thirty-eight".