172968683102208 has 2016 divisors, whose sum is σ = 624057230684160. Its totient is φ = 46893803765760.

The previous prime is 172968683102153. The next prime is 172968683102263. The reversal of 172968683102208 is 802201386869271.

172968683102208 is a `hidden beast` number, since 1 + 7 + 2 + 96 + 8 + 6 + 8 + 310 + 220 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (172968683102153) and next prime (172968683102263).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×172968683102208² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 905595199393 + ... + 905595199583.

It is an arithmetic number, because the mean of its divisors is an integer number (309552197760).

Almost surely, 2^{172968683102208} is an apocalyptic number.

172968683102208 is a gapful number since it is divisible by the number (18) 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 172968683102208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312028615342080).

172968683102208 is an abundant number, since it is smaller than the sum of its proper divisors (451088547581952).

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

172968683102208 is an frugal number, since it uses more digits than its factorization.

172968683102208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 172968683102208 in words is "one hundred seventy-two trillion, nine hundred sixty-eight billion, six hundred eighty-three million, one hundred two thousand, two hundred eight".