816968008105 has 16 divisors (see below), whose sum is σ = 981112710528. Its totient is φ = 653073840000.

The previous prime is 816968008099. The next prime is 816968008133. The reversal of 816968008105 is 501800869618.

816968008105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 816968008105 - 2³ = 816968008097 is a prime.

It is a super-5 number, since 5×816968008105⁵ (a number of 61 digits) contains 55555 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78617460 + ... + 78627850.

It is an arithmetic number, because the mean of its divisors is an integer number (61319544408).

Almost surely, 2^816968008105 is an apocalyptic number.

It is an amenable number.

816968008105 is a deficient number, since it is larger than the sum of its proper divisors (164144702423).

816968008105 is a wasteful number, since it uses less digits than its factorization.

816968008105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20928.

The product of its (nonzero) digits is 829440, while the sum is 52.

The spelling of 816968008105 in words is "eight hundred sixteen billion, nine hundred sixty-eight million, eight thousand, one hundred five".