429617483110656 has 405 divisors, whose sum is σ = 1360990397705169. Its totient is φ = 134766036983808.

The previous prime is 429617483110643. The next prime is 429617483110691. The reversal of 429617483110656 is 656011384716924.

The square root of 429617483110656 is 20727216.

It is a perfect power (a square), and thus also a powerful number.

429617483110656 is a `hidden beast` number, since 4 + 2 + 9 + 617 + 4 + 8 + 3 + 1 + 1 + 0 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 334477279238400 + 95140203872256 = 18288720^2 + 9753984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 429617483110593 and 429617483110602.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50740220535 + ... + 50740229001.

It is a 1-persistent number, because it is pandigital, but 2⋅429617483110656 = 859234966221312 is not.

Almost surely, 2^{429617483110656} is an apocalyptic number.

429617483110656 is the 20727216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429617483110656

429617483110656 is an abundant number, since it is smaller than the sum of its proper divisors (931372914594513).

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

429617483110656 is an frugal number, since it uses more digits than its factorization.

429617483110656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16996 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 429617483110656 in words is "four hundred twenty-nine trillion, six hundred seventeen billion, four hundred eighty-three million, one hundred ten thousand, six hundred fifty-six".