18001109952 has 448 divisors, whose sum is σ = 63150658560. Its totient is φ = 4921233408.

The previous prime is 18001109947. The next prime is 18001109953. The reversal of 18001109952 is 25990110081.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18001109953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27566458 + ... + 27567110.

Almost surely, 2^18001109952 is an apocalyptic number.

18001109952 is a gapful number since it is divisible by the number (12) 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 18001109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31575329280).

18001109952 is an abundant number, since it is smaller than the sum of its proper divisors (45149548608).

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

18001109952 is a wasteful number, since it uses less digits than its factorization.

18001109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 18001109952 in words is "eighteen billion, one million, one hundred nine thousand, nine hundred fifty-two".