123533243931601 has 27 divisors (see below), whose sum is σ = 145207543788369. Its totient is φ = 104787631162368.

The previous prime is 123533243931599. The next prime is 123533243931659. The reversal of 123533243931601 is 106139342335321.

The square root of 123533243931601 is 11114551.

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 7088080899025 + 116445163032576 = 2662345^2 + 10790976^2 .

It is not a de Polignac number, because 123533243931601 - 2¹ = 123533243931599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123533243931101) 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, 7546771945 + ... + 7546788313.

It is an arithmetic number, because the mean of its divisors is an integer number (5378057177347).

Almost surely, 2^{123533243931601} is an apocalyptic number.

123533243931601 is the 11114551-st square number.

123533243931601 is the 5557276-th centered octagonal number.

It is an amenable number.

123533243931601 is a deficient number, since it is larger than the sum of its proper divisors (21674299856768).

123533243931601 is an frugal number, since it uses more digits than its factorization.

123533243931601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32946 (or 16473 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 46.

The spelling of 123533243931601 in words is "one hundred twenty-three trillion, five hundred thirty-three billion, two hundred forty-three million, nine hundred thirty-one thousand, six hundred one".