1101671616 has 112 divisors (see below), whose sum is σ = 2993526144. Its totient is φ = 357451776.

The previous prime is 1101671609. The next prime is 1101671629. The reversal of 1101671616 is 6161761011.

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 15 ways as a sum of consecutive naturals, for example, 1162855 + ... + 1163801.

It is an arithmetic number, because the mean of its divisors is an integer number (26727912).

Almost surely, 2^1101671616 is an apocalyptic number.

1101671616 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 1101671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496763072).

1101671616 is an abundant number, since it is smaller than the sum of its proper divisors (1891854528).

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

1101671616 is an equidigital number, since it uses as much as digits as its factorization.

1101671616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 1101671616 is about 33191.4388961973. The cubic root of 1101671616 is about 1032.8027526090.

The spelling of 1101671616 in words is "one billion, one hundred one million, six hundred seventy-one thousand, six hundred sixteen".