829527494656 has 351 divisors, whose sum is σ = 2055804775479. Its totient is φ = 333652967424.

The previous prime is 829527494641. The next prime is 829527494743. The reversal of 829527494656 is 656494725928.

The square root of 829527494656 is 910784.

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

Its product of digits (261273600) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 829527494591 and 829527494600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7752593355 + ... + 7752593461.

Almost surely, 2^829527494656 is an apocalyptic number.

829527494656 is the 910784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829527494656

829527494656 is an abundant number, since it is smaller than the sum of its proper divisors (1226277280823).

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

829527494656 is an equidigital number, since it uses as much as digits as its factorization.

829527494656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 135 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 67.

The spelling of 829527494656 in words is "eight hundred twenty-nine billion, five hundred twenty-seven million, four hundred ninety-four thousand, six hundred fifty-six".