693895664016 has 165 divisors, whose sum is σ = 2018978754241. Its totient is φ = 231028661376.

The previous prime is 693895664003. The next prime is 693895664029. The reversal of 693895664016 is 610466598396.

The square root of 693895664016 is 833004.

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

693895664016 is a `hidden beast` number, since 6 + 93 + 89 + 5 + 66 + 401 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (693895664003) and next prime (693895664029).

It can be written as a sum of positive squares in only one way, i.e., 643043610000 + 50852054016 = 801900^2 + 225504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 809679460 + ... + 809680316.

Almost surely, 2^693895664016 is an apocalyptic number.

693895664016 is the 833004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693895664016

693895664016 is an abundant number, since it is smaller than the sum of its proper divisors (1325083090225).

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

693895664016 is an frugal number, since it uses more digits than its factorization.

693895664016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 693895664016 in words is "six hundred ninety-three billion, eight hundred ninety-five million, six hundred sixty-four thousand, sixteen".