172999015162281 has 243 divisors, whose sum is σ = 323392563104247. Its totient is φ = 88791605844480.

The previous prime is 172999015162279. The next prime is 172999015162291. The reversal of 172999015162281 is 182261510999271.

The square root of 172999015162281 is 13152909.

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

172999015162281 is a `hidden beast` number, since 1 + 7 + 2 + 9 + 9 + 90 + 1 + 516 + 2 + 28 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77683158578025 + 95315856584256 = 8813805^2 + 9762984^2 .

It is not a de Polignac number, because 172999015162281 - 2¹ = 172999015162279 is a prime.

It is a super-2 number, since 2×172999015162281² (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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (172999015162291) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 294717231670 + ... + 294717232256.

Almost surely, 2^{172999015162281} is an apocalyptic number.

172999015162281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

172999015162281 is the 13152909-th square number.

172999015162281 is the 6576455-th centered octagonal number.

It is an amenable number.

172999015162281 is a deficient number, since it is larger than the sum of its proper divisors (150393547941966).

172999015162281 is an frugal number, since it uses more digits than its factorization.

172999015162281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 172999015162281 in words is "one hundred seventy-two trillion, nine hundred ninety-nine billion, fifteen million, one hundred sixty-two thousand, two hundred eighty-one".