429223185504 has 216 divisors, whose sum is σ = 1249952872896. Its totient is φ = 139674585600.

The previous prime is 429223185499. The next prime is 429223185511. The reversal of 429223185504 is 405581322924.

429223185504 is a `hidden beast` number, since 4 + 2 + 92 + 2 + 3 + 1 + 8 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 429223185504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1296746619 + ... + 1296746949.

It is an arithmetic number, because the mean of its divisors is an integer number (5786818856).

Almost surely, 2^429223185504 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 429223185504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624976436448).

429223185504 is an abundant number, since it is smaller than the sum of its proper divisors (820729687392).

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

429223185504 is a wasteful number, since it uses less digits than its factorization.

429223185504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 429223185504 in words is "four hundred twenty-nine billion, two hundred twenty-three million, one hundred eighty-five thousand, five hundred four".