18090481752 has 96 divisors (see below), whose sum is σ = 56048397600. Its totient is φ = 5163720192.

The previous prime is 18090481751. The next prime is 18090481757. The reversal of 18090481752 is 25718409081.

18090481752 is a `hidden beast` number, since 1 + 80 + 90 + 481 + 7 + 5 + 2 = 666.

It is a super-3 number, since 3×18090481752³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18090481698 and 18090481707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18090481751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521988 + ... + 555564.

It is an arithmetic number, because the mean of its divisors is an integer number (583837475).

Almost surely, 2^18090481752 is an apocalyptic number.

18090481752 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 18090481752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28024198800).

18090481752 is an abundant number, since it is smaller than the sum of its proper divisors (37957915848).

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

18090481752 is a wasteful number, since it uses less digits than its factorization.

18090481752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34665 (or 34658 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 18090481752 in words is "eighteen billion, ninety million, four hundred eighty-one thousand, seven hundred fifty-two".