11492149685184 has 336 divisors, whose sum is σ = 38383133548032. Its totient is φ = 3219257972736.

The previous prime is 11492149685179. The next prime is 11492149685243. The reversal of 11492149685184 is 48158694129411.

11492149685184 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 21 + 4 + 96 + 8 + 518 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×11492149685184² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316893037 + ... + 316929299.

It is an arithmetic number, because the mean of its divisors is an integer number (114235516512).

Almost surely, 2^{11492149685184} is an apocalyptic number.

11492149685184 is a gapful number since it is divisible by the number (14) 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 11492149685184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19191566774016).

11492149685184 is an abundant number, since it is smaller than the sum of its proper divisors (26890983862848).

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

11492149685184 is a wasteful number, since it uses less digits than its factorization.

11492149685184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37824 (or 37811 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 11492149685184 in words is "eleven trillion, four hundred ninety-two billion, one hundred forty-nine million, six hundred eighty-five thousand, one hundred eighty-four".