172117946641 has 3 divisors (see below), whose sum is σ = 172118361513. Its totient is φ = 172117531770.

The previous prime is 172117946639. The next prime is 172117946723. The reversal of 172117946641 is 146649711271.

It is a happy number.

The square root of 172117946641 is 414871.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 146649711271 = 7 ⋅20949958753.

It is not a de Polignac number, because 172117946641 - 2¹ = 172117946639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172117940641) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 207436 + ... + 622306.

It is an arithmetic number, because the mean of its divisors is an integer number (57372787171).

Almost surely, 2^172117946641 is an apocalyptic number.

172117946641 is the 414871-st square number.

172117946641 is the 207436-th centered octagonal number.

It is an amenable number.

172117946641 is a deficient number, since it is larger than the sum of its proper divisors (414872).

172117946641 is an frugal number, since it uses more digits than its factorization.

172117946641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829742 (or 414871 counting only the distinct ones).

The product of its digits is 508032, while the sum is 49.

Multiplying 172117946641 by its sum of digits (49), we get a square (8433779385409 = 2904097²).

The spelling of 172117946641 in words is "one hundred seventy-two billion, one hundred seventeen million, nine hundred forty-six thousand, six hundred forty-one".