11369444672664 has 256 divisors, whose sum is σ = 34223118451200. Its totient is φ = 3476507613696.

The previous prime is 11369444672629. The next prime is 11369444672699. The reversal of 11369444672664 is 46627644496311.

11369444672664 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 94 + 4 + 467 + 26 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (11369444672629) and next prime (11369444672699).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1555962499 + ... + 1555969805.

It is an arithmetic number, because the mean of its divisors is an integer number (133684056450).

Almost surely, 2^{11369444672664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11369444672664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111559225600).

11369444672664 is an abundant number, since it is smaller than the sum of its proper divisors (22853673778536).

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

11369444672664 is a wasteful number, since it uses less digits than its factorization.

11369444672664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10711 (or 10701 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 11369444672664 in words is "eleven trillion, three hundred sixty-nine billion, four hundred forty-four million, six hundred seventy-two thousand, six hundred sixty-four".