11149670191824 has 120 divisors (see below), whose sum is σ = 31311600840000. Its totient is φ = 3703706012160.

The previous prime is 11149670191813. The next prime is 11149670191897. The reversal of 11149670191824 is 42819107694111.

11149670191824 is a `hidden beast` number, since 1 + 1 + 1 + 496 + 70 + 1 + 9 + 1 + 82 + 4 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 77420364 + ... + 77564244.

It is an arithmetic number, because the mean of its divisors is an integer number (260930007000).

Almost surely, 2^{11149670191824} 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 11149670191824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655800420000).

11149670191824 is an abundant number, since it is smaller than the sum of its proper divisors (20161930648176).

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

11149670191824 is a wasteful number, since it uses less digits than its factorization.

11149670191824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145753 (or 145744 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 11149670191824 in words is "eleven trillion, one hundred forty-nine billion, six hundred seventy million, one hundred ninety-one thousand, eight hundred twenty-four".