1155188479104 has 576 divisors, whose sum is σ = 3861816940800. Its totient is φ = 330526310400.

The previous prime is 1155188479087. The next prime is 1155188479121. The reversal of 1155188479104 is 4019748815511.

1155188479104 is a `hidden beast` number, since 1 + 1 + 55 + 18 + 8 + 479 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (1155188479087) and next prime (1155188479121).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1155188479104² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 253272984 + ... + 253277544.

It is an arithmetic number, because the mean of its divisors is an integer number (6704543300).

Almost surely, 2^{1155188479104} 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 1155188479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930908470400).

1155188479104 is an abundant number, since it is smaller than the sum of its proper divisors (2706628461696).

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

1155188479104 is a wasteful number, since it uses less digits than its factorization.

1155188479104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 1155188479104 in words is "one trillion, one hundred fifty-five billion, one hundred eighty-eight million, four hundred seventy-nine thousand, one hundred four".