18345544560 has 480 divisors, whose sum is σ = 76969930752. Its totient is φ = 3818741760.

The previous prime is 18345544537. The next prime is 18345544583. The reversal of 18345544560 is 6544554381.

18345544560 is a `hidden beast` number, since 1 + 8 + 3 + 45 + 5 + 44 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (18345544537) and next prime (18345544583).

It is a super-3 number, since 3×18345544560³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2652627 + ... + 2659533.

Almost surely, 2^18345544560 is an apocalyptic number.

18345544560 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 18345544560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38484965376).

18345544560 is an abundant number, since it is smaller than the sum of its proper divisors (58624386192).

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

18345544560 is a wasteful number, since it uses less digits than its factorization.

18345544560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 18345544560 in words is "eighteen billion, three hundred forty-five million, five hundred forty-four thousand, five hundred sixty".