429868228608 has 1176 divisors, whose sum is σ = 1629000943668. Its totient is φ = 112368549888.

The previous prime is 429868228597. The next prime is 429868228619. The reversal of 429868228608 is 806822868924.

429868228608 is a `hidden beast` number, since 4 + 298 + 68 + 2 + 286 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (429868228597) and next prime (429868228619).

It can be written as a sum of positive squares in 2 ways, for example, as 323205894144 + 106662334464 = 568512^2 + 326592^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3804143560 + ... + 3804143672.

Almost surely, 2^429868228608 is an apocalyptic number.

429868228608 is a gapful number since it is divisible by the number (48) 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 429868228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814500471834).

429868228608 is an abundant number, since it is smaller than the sum of its proper divisors (1199132715060).

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

429868228608 is an equidigital number, since it uses as much as digits as its factorization.

429868228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 429868228608 in words is "four hundred twenty-nine billion, eight hundred sixty-eight million, two hundred twenty-eight thousand, six hundred eight".