18855472100 has 72 divisors (see below), whose sum is σ = 41653745448. Its totient is φ = 7406668800.

The previous prime is 18855472081. The next prime is 18855472117. The reversal of 18855472100 is 127455881.

It can be written as a sum of positive squares in 12 ways, for example, as 1597920676 + 17257551424 = 39974^2 + 131368^2 .

It is a super-2 number, since 2×18855472100² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4469192 + ... + 4473408.

Almost surely, 2^18855472100 is an apocalyptic number.

18855472100 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 18855472100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20826872724).

18855472100 is an abundant number, since it is smaller than the sum of its proper divisors (22798273348).

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

18855472100 is a wasteful number, since it uses less digits than its factorization.

18855472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 41.

The spelling of 18855472100 in words is "eighteen billion, eight hundred fifty-five million, four hundred seventy-two thousand, one hundred".