18716308416 has 560 divisors, whose sum is σ = 64438133760. Its totient is φ = 5322516480.

The previous prime is 18716308409. The next prime is 18716308417. The reversal of 18716308416 is 61480361781.

18716308416 is a `hidden beast` number, since 1 + 8 + 7 + 1 + 630 + 8 + 4 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18716308417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60180901 + ... + 60181211.

It is an arithmetic number, because the mean of its divisors is an integer number (115068096).

Almost surely, 2^18716308416 is an apocalyptic number.

18716308416 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 18716308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32219066880).

18716308416 is an abundant number, since it is smaller than the sum of its proper divisors (45721825344).

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

18716308416 is a wasteful number, since it uses less digits than its factorization.

18716308416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18716308416 in words is "eighteen billion, seven hundred sixteen million, three hundred eight thousand, four hundred sixteen".