1101639168 has 480 divisors, whose sum is σ = 4021617600. Its totient is φ = 289013760.

The previous prime is 1101639139. The next prime is 1101639179. The reversal of 1101639168 is 8619361011.

It is a happy number.

1101639168 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 639 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26869228 + ... + 26869268.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2^1101639168 is an apocalyptic number.

1101639168 is a gapful number since it is divisible by the number (18) 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 1101639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010808800).

1101639168 is an abundant number, since it is smaller than the sum of its proper divisors (2919978432).

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

1101639168 is an equidigital number, since it uses as much as digits as its factorization.

1101639168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1101639168 is about 33190.9500918549. The cubic root of 1101639168 is about 1032.7926126507.

The spelling of 1101639168 in words is "one billion, one hundred one million, six hundred thirty-nine thousand, one hundred sixty-eight".