1093698144 has 288 divisors, whose sum is σ = 3915475200. Its totient is φ = 281318400.

The previous prime is 1093698107. The next prime is 1093698149. The reversal of 1093698144 is 4418963901.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1093698144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093698149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3304059 + ... + 3304389.

It is an arithmetic number, because the mean of its divisors is an integer number (13595400).

Almost surely, 2^1093698144 is an apocalyptic number.

1093698144 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 1093698144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957737600).

1093698144 is an abundant number, since it is smaller than the sum of its proper divisors (2821777056).

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

1093698144 is a wasteful number, since it uses less digits than its factorization.

1093698144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1093698144 is about 33071.1073899862. The cubic root of 1093698144 is about 1030.3050417713.

The spelling of 1093698144 in words is "one billion, ninety-three million, six hundred ninety-eight thousand, one hundred forty-four".