829678354860991 has 32 divisors (see below), whose sum is σ = 875995238764800. Its totient is φ = 783631160156160.

The previous prime is 829678354860989. The next prime is 829678354860997. The reversal of 829678354860991 is 199068453876928.

It is a cyclic number.

It is not a de Polignac number, because 829678354860991 - 2¹ = 829678354860989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 829678354860899 and 829678354860908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829678354860997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20642339391 + ... + 20642379583.

It is an arithmetic number, because the mean of its divisors is an integer number (27374851211400).

It is a 1-persistent number, because it is pandigital, but 2⋅829678354860991 = 1659356709721982 is not.

Almost surely, 2^{829678354860991} is an apocalyptic number.

829678354860991 is a deficient number, since it is larger than the sum of its proper divisors (46316883903809).

829678354860991 is a wasteful number, since it uses less digits than its factorization.

829678354860991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43399.

The product of its (nonzero) digits is 11287019520, while the sum is 85.

The spelling of 829678354860991 in words is "eight hundred twenty-nine trillion, six hundred seventy-eight billion, three hundred fifty-four million, eight hundred sixty thousand, nine hundred ninety-one".