11844294916608 has 2400 divisors, whose sum is σ = 46781655782400. Its totient is φ = 2916709171200.

The previous prime is 11844294916607. The next prime is 11844294916637. The reversal of 11844294916608 is 80661949244811.

11844294916608 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 4 + 2 + 9 + 4 + 9 + 16 + 608 = 666.

It is a super-2 number, since 2×11844294916608² (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 not an unprimeable number, because it can be changed into a prime (11844294916607) 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 239 ways as a sum of consecutive naturals, for example, 79491912118 + ... + 79491912266.

It is an arithmetic number, because the mean of its divisors is an integer number (19492356576).

Almost surely, 2^{11844294916608} is an apocalyptic number.

11844294916608 is a gapful number since it is divisible by the number (18) 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 11844294916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390827891200).

11844294916608 is an abundant number, since it is smaller than the sum of its proper divisors (34937360865792).

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

11844294916608 is a wasteful number, since it uses less digits than its factorization.

11844294916608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 11844294916608 in words is "eleven trillion, eight hundred forty-four billion, two hundred ninety-four million, nine hundred sixteen thousand, six hundred eight".