429203271485664 has 768 divisors, whose sum is σ = 1389487841280000. Its totient is φ = 128075144730624.

The previous prime is 429203271485633. The next prime is 429203271485789. The reversal of 429203271485664 is 466584172302924.

429203271485664 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 0 + 3 + 27 + 1 + 48 + 566 + 4 = 666.

It is a super-3 number, since 3×429203271485664³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82873770627 + ... + 82873775805.

It is an arithmetic number, because the mean of its divisors is an integer number (1809228960000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅429203271485664 = 858406542971328, but 3⋅429203271485664 = 1287609814456992 is not.

Almost surely, 2^{429203271485664} 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 429203271485664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694743920640000).

429203271485664 is an abundant number, since it is smaller than the sum of its proper divisors (960284569794336).

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

429203271485664 is a wasteful number, since it uses less digits than its factorization.

429203271485664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6932 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 429203271485664 in words is "four hundred twenty-nine trillion, two hundred three billion, two hundred seventy-one million, four hundred eighty-five thousand, six hundred sixty-four".