18429039216 has 320 divisors, whose sum is σ = 63283568640. Its totient is φ = 5023918080.

The previous prime is 18429039191. The next prime is 18429039241. The reversal of 18429039216 is 61293092481.

18429039216 is a `hidden beast` number, since 1 + 8 + 429 + 0 + 3 + 9 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (18429039191) and next prime (18429039241).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6841966 + ... + 6844658.

It is an arithmetic number, because the mean of its divisors is an integer number (197761152).

Almost surely, 2^18429039216 is an apocalyptic number.

18429039216 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 18429039216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31641784320).

18429039216 is an abundant number, since it is smaller than the sum of its proper divisors (44854529424).

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

18429039216 is a wasteful number, since it uses less digits than its factorization.

18429039216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 18429039216 in words is "eighteen billion, four hundred twenty-nine million, thirty-nine thousand, two hundred sixteen".