1105059521664 has 1152 divisors, whose sum is σ = 4171642675200. Its totient is φ = 289229875200.

The previous prime is 1105059521647. The next prime is 1105059521681. The reversal of 1105059521664 is 4661259505011.

1105059521664 is a `hidden beast` number, since 1 + 1 + 0 + 50 + 595 + 2 + 1 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1105059521647) and next prime (1105059521681).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 897691929 + ... + 897693159.

It is an arithmetic number, because the mean of its divisors is an integer number (3621217600).

Almost surely, 2^{1105059521664} is an apocalyptic number.

1105059521664 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 1105059521664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085821337600).

1105059521664 is an abundant number, since it is smaller than the sum of its proper divisors (3066583153536).

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

1105059521664 is a wasteful number, since it uses less digits than its factorization.

1105059521664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1105059521664 in words is "one trillion, one hundred five billion, fifty-nine million, five hundred twenty-one thousand, six hundred sixty-four".