1101663216 has 120 divisors (see below), whose sum is σ = 3153458880. Its totient is φ = 358944768.

The previous prime is 1101663181. The next prime is 1101663217. The reversal of 1101663216 is 6123661011.

1101663216 is a `hidden beast` number, since 1 + 1 + 0 + 16 + 632 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1101663216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101663217) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1285060 + ... + 1285916.

It is an arithmetic number, because the mean of its divisors is an integer number (26278824).

Almost surely, 2^1101663216 is an apocalyptic number.

1101663216 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 1101663216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576729440).

1101663216 is an abundant number, since it is smaller than the sum of its proper divisors (2051795664).

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

1101663216 is a wasteful number, since it uses less digits than its factorization.

1101663216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1101663216 is about 33191.3123573022. The cubic root of 1101663216 is about 1032.8001276389.

The spelling of 1101663216 in words is "one billion, one hundred one million, six hundred sixty-three thousand, two hundred sixteen".