18249960960 has 1120 divisors, whose sum is σ = 82438152192. Its totient is φ = 3762339840.

The previous prime is 18249960947. The next prime is 18249960973. The reversal of 18249960960 is 6906994281.

18249960960 is a `hidden beast` number, since 1 + 8 + 2 + 499 + 60 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18249960947) and next prime (18249960973).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×18249960960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18249960897 and 18249960906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 143700417 + ... + 143700543.

Almost surely, 2^18249960960 is an apocalyptic number.

18249960960 is a gapful number since it is divisible by the number (10) 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 18249960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41219076096).

18249960960 is an abundant number, since it is smaller than the sum of its proper divisors (64188191232).

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

18249960960 is an equidigital number, since it uses as much as digits as its factorization.

18249960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 18249960960 in words is "eighteen billion, two hundred forty-nine million, nine hundred sixty thousand, nine hundred sixty".