18552145920 has 1152 divisors, whose sum is σ = 80309698560. Its totient is φ = 3568435200.

The previous prime is 18552145919. The next prime is 18552145921. The reversal of 18552145920 is 2954125581.

It is an interprime number because it is at equal distance from previous prime (18552145919) and next prime (18552145921).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (18552145921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 598456305 + ... + 598456335.

It is an arithmetic number, because the mean of its divisors is an integer number (69713280).

Almost surely, 2^18552145920 is an apocalyptic number.

18552145920 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 18552145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40154849280).

18552145920 is an abundant number, since it is smaller than the sum of its proper divisors (61757552640).

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

18552145920 is a wasteful number, since it uses less digits than its factorization.

18552145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 18552145920 in words is "eighteen billion, five hundred fifty-two million, one hundred forty-five thousand, nine hundred twenty".