429225170616 has 384 divisors, whose sum is σ = 1377594915840. Its totient is φ = 119256883200.

The previous prime is 429225170557. The next prime is 429225170743. The reversal of 429225170616 is 616071522924.

429225170616 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 25 + 1 + 7 + 0 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301633281 + ... + 301634703.

It is an arithmetic number, because the mean of its divisors is an integer number (3587486760).

Almost surely, 2^429225170616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429225170616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688797457920).

429225170616 is an abundant number, since it is smaller than the sum of its proper divisors (948369745224).

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

429225170616 is a wasteful number, since it uses less digits than its factorization.

429225170616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 429225170616 in words is "four hundred twenty-nine billion, two hundred twenty-five million, one hundred seventy thousand, six hundred sixteen".