921016171192320 has 3360 divisors, whose sum is σ = 3998778493501440. Its totient is φ = 201982468423680.

The previous prime is 921016171192241. The next prime is 921016171192321. The reversal of 921016171192320 is 23291171610129.

921016171192320 is a `hidden beast` number, since 9 + 2 + 1 + 0 + 1 + 617 + 1 + 1 + 9 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-3 number, since 3×921016171192320³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921016171192321) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 640039034161 + ... + 640039035599.

Almost surely, 2^{921016171192320} is an apocalyptic number.

921016171192320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 921016171192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999389246750720).

921016171192320 is an abundant number, since it is smaller than the sum of its proper divisors (3077762322309120).

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

921016171192320 is a wasteful number, since it uses less digits than its factorization.

921016171192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 921016171192320 in words is "nine hundred twenty-one trillion, sixteen billion, one hundred seventy-one million, one hundred ninety-two thousand, three hundred twenty".