94101795569664 has 459 divisors, whose sum is σ = 289168429030273. Its totient is φ = 29482398253056.

The previous prime is 94101795569603. The next prime is 94101795569671. The reversal of 94101795569664 is 46696559710149.

The square root of 94101795569664 is 9700608.

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

94101795569664 is a `hidden beast` number, since 9 + 4 + 1 + 0 + 1 + 7 + 9 + 556 + 9 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73262643609600 + 20839151960064 = 8559360^2 + 4564992^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 94101795569592 and 94101795569601.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126651137677 + ... + 126651138419.

Almost surely, 2^{94101795569664} is an apocalyptic number.

94101795569664 is the 9700608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94101795569664

94101795569664 is an abundant number, since it is smaller than the sum of its proper divisors (195066633460609).

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

94101795569664 is an frugal number, since it uses more digits than its factorization.

94101795569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 94101795569664 in words is "ninety-four trillion, one hundred one billion, seven hundred ninety-five million, five hundred sixty-nine thousand, six hundred sixty-four".