171146144312730 has 192 divisors, whose sum is σ = 482374628824608. Its totient is φ = 41941758689280.

The previous prime is 171146144312701. The next prime is 171146144312789. The reversal of 171146144312730 is 37213441641171.

171146144312730 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 4 + 614 + 4 + 3 + 1 + 27 + 3 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 46577308109049 + 124568836203681 = 6824757^2 + 11161041^2 .

It is a super-2 number, since 2×171146144312730² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6093604 + ... + 19478816.

Almost surely, 2^{171146144312730} is an apocalyptic number.

171146144312730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 171146144312730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241187314412304).

171146144312730 is an abundant number, since it is smaller than the sum of its proper divisors (311228484511878).

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

171146144312730 is a wasteful number, since it uses less digits than its factorization.

171146144312730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13385441 (or 13385438 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 171146144312730 in words is "one hundred seventy-one trillion, one hundred forty-six billion, one hundred forty-four million, three hundred twelve thousand, seven hundred thirty".