171481812480 has 640 divisors, whose sum is σ = 703632821760. Its totient is φ = 39123025920.

The previous prime is 171481812473. The next prime is 171481812487. The reversal of 171481812480 is 84218184171.

171481812480 is a `hidden beast` number, since 1 + 7 + 14 + 81 + 81 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (171481812473) and next prime (171481812487).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×171481812480² (a number of 23 digits) contains 22 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 (171481812487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12918807 + ... + 12932073.

It is an arithmetic number, because the mean of its divisors is an integer number (1099426284).

Almost surely, 2^171481812480 is an apocalyptic number.

171481812480 is a gapful number since it is divisible by the number (10) 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 171481812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351816410880).

171481812480 is an abundant number, since it is smaller than the sum of its proper divisors (532151009280).

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

171481812480 is a wasteful number, since it uses less digits than its factorization.

171481812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13327 (or 13305 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 171481812480 in words is "one hundred seventy-one billion, four hundred eighty-one million, eight hundred twelve thousand, four hundred eighty".