11444634938016 has 864 divisors, whose sum is σ = 41146970312448. Its totient is φ = 2949773967360.

The previous prime is 11444634937991. The next prime is 11444634938057. The reversal of 11444634938016 is 61083943644411.

It is a happy number.

11444634938016 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 63 + 493 + 80 + 16 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4034060950 + ... + 4034063786.

It is an arithmetic number, because the mean of its divisors is an integer number (47623808232).

Almost surely, 2^{11444634938016} is an apocalyptic number.

11444634938016 is a gapful number since it is divisible by the number (16) 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 11444634938016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20573485156224).

11444634938016 is an abundant number, since it is smaller than the sum of its proper divisors (29702335374432).

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

11444634938016 is a wasteful number, since it uses less digits than its factorization.

11444634938016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 11444634938016 in words is "eleven trillion, four hundred forty-four billion, six hundred thirty-four million, nine hundred thirty-eight thousand, sixteen".