18812860416 has 480 divisors, whose sum is σ = 68069121120. Its totient is φ = 5053612032.

The previous prime is 18812860411. The next prime is 18812860421. The reversal of 18812860416 is 61406821881.

18812860416 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 28 + 604 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (18812860411) and next prime (18812860421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18812860411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19740196 + ... + 19741148.

It is an arithmetic number, because the mean of its divisors is an integer number (141810669).

Almost surely, 2^18812860416 is an apocalyptic number.

18812860416 is a gapful number since it is divisible by the number (16) 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 18812860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34034560560).

18812860416 is an abundant number, since it is smaller than the sum of its proper divisors (49256260704).

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

18812860416 is an equidigital number, since it uses as much as digits as its factorization.

18812860416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 18812860416 in words is "eighteen billion, eight hundred twelve million, eight hundred sixty thousand, four hundred sixteen".