459153956881 has 9 divisors (see below), whose sum is σ = 463814179473. Its totient is φ = 454540117200.

The previous prime is 459153956861. The next prime is 459153956887. The reversal of 459153956881 is 188659351954.

The square root of 459153956881 is 677609.

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

It can be written as a sum of positive squares in 4 ways, for example, as 213851678481 + 245302278400 = 462441^2 + 495280^2 .

It is not a de Polignac number, because 459153956881 - 2¹³ = 459153948689 is a prime.

It is a super-2 number, since 2×459153956881² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (459153956887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68435155 + ... + 68441863.

Almost surely, 2^459153956881 is an apocalyptic number.

459153956881 is the 677609-th square number.

459153956881 is the 338805-th centered octagonal number.

It is an amenable number.

459153956881 is a deficient number, since it is larger than the sum of its proper divisors (4660222592).

459153956881 is an frugal number, since it uses more digits than its factorization.

459153956881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13620 (or 6810 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 64.

Multiplying 459153956881 by its sum of digits (64), we get a square (29385853240384 = 5420872²).

The spelling of 459153956881 in words is "four hundred fifty-nine billion, one hundred fifty-three million, nine hundred fifty-six thousand, eight hundred eighty-one".