11449964058624 has 3072 divisors, whose sum is σ = 47340453888000. Its totient is φ = 2648687247360.

The previous prime is 11449964058623. The next prime is 11449964058629. The reversal of 11449964058624 is 42685046994411.

11449964058624 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 9 + 9 + 6 + 40 + 586 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-4 number, since 4×11449964058624⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 (11449964058623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90157197249 + ... + 90157197375.

It is an arithmetic number, because the mean of its divisors is an integer number (15410304000).

Almost surely, 2^{11449964058624} is an apocalyptic number.

11449964058624 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 11449964058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23670226944000).

11449964058624 is an abundant number, since it is smaller than the sum of its proper divisors (35890489829376).

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

11449964058624 is a wasteful number, since it uses less digits than its factorization.

11449964058624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 11449964058624 in words is "eleven trillion, four hundred forty-nine billion, nine hundred sixty-four million, fifty-eight thousand, six hundred twenty-four".