829868729089661 has 16 divisors (see below), whose sum is σ = 860145600061440. Its totient is φ = 800107809370800.

The previous prime is 829868729089637. The next prime is 829868729089691. The reversal of 829868729089661 is 166980927868928.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-829868729089661 is a prime.

It is a super-2 number, since 2×829868729089661² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829868729089691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96900491 + ... + 105116328.

It is an arithmetic number, because the mean of its divisors is an integer number (53759100003840).

Almost surely, 2^{829868729089661} is an apocalyptic number.

It is an amenable number.

829868729089661 is a deficient number, since it is larger than the sum of its proper divisors (30276870971779).

829868729089661 is a wasteful number, since it uses less digits than its factorization.

829868729089661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202018096.

The product of its (nonzero) digits is 18059231232, while the sum is 89.

The spelling of 829868729089661 in words is "eight hundred twenty-nine trillion, eight hundred sixty-eight billion, seven hundred twenty-nine million, eighty-nine thousand, six hundred sixty-one".