18872114240 has 224 divisors, whose sum is σ = 53345364480. Its totient is φ = 6222053376.

The previous prime is 18872114227. The next prime is 18872114257. The reversal of 18872114240 is 4241127881.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×18872114240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18872114194 and 18872114203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22930469 + ... + 22931291.

Almost surely, 2^18872114240 is an apocalyptic number.

18872114240 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 18872114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26672682240).

18872114240 is an abundant number, since it is smaller than the sum of its proper divisors (34473250240).

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

18872114240 is a wasteful number, since it uses less digits than its factorization.

18872114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The spelling of 18872114240 in words is "eighteen billion, eight hundred seventy-two million, one hundred fourteen thousand, two hundred forty".