467901145089 has 27 divisors (see below), whose sum is σ = 786225381123. Its totient is φ = 267363874512.

The previous prime is 467901145087. The next prime is 467901145109. The reversal of 467901145089 is 980541109764.

The square root of 467901145089 is 684033.

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

467901145089 is a `hidden beast` number, since 46 + 7 + 90 + 1 + 1 + 4 + 508 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3469799025 + 464431346064 = 58905^2 + 681492^2 .

It is not a de Polignac number, because 467901145089 - 2¹ = 467901145087 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (467901145087) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14348407 + ... + 14380979.

Almost surely, 2^467901145089 is an apocalyptic number.

467901145089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

467901145089 is the 684033-rd square number.

467901145089 is the 342017-th centered octagonal number.

It is an amenable number.

467901145089 is a deficient number, since it is larger than the sum of its proper divisors (318324236034).

467901145089 is an frugal number, since it uses more digits than its factorization.

467901145089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65166 (or 32583 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 467901145089 in words is "four hundred sixty-seven billion, nine hundred one million, one hundred forty-five thousand, eighty-nine".