123648995739049 has 27 divisors (see below), whose sum is σ = 139151868019479. Its totient is φ = 109789363973520.

The previous prime is 123648995738941. The next prime is 123648995739053. The reversal of 123648995739049 is 940937599846321.

The square root of 123648995739049 is 11119757.

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

It can be written as a sum of positive squares in only one way, i.e., 121554086874649 + 2094908864400 = 11025157^2 + 1447380^2 .

It is not a de Polignac number, because 123648995739049 - 2²⁷ = 123648861521321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123648995739049.

It is not an unprimeable number, because it can be changed into a prime (123648995737049) 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, 5259633307 + ... + 5259656815.

It is a 1-persistent number, because it is pandigital, but 2⋅123648995739049 = 247297991478098 is not.

Almost surely, 2^{123648995739049} is an apocalyptic number.

123648995739049 is the 11119757-th square number.

123648995739049 is the 5559879-th centered octagonal number.

It is an amenable number.

123648995739049 is a deficient number, since it is larger than the sum of its proper divisors (15502872280430).

123648995739049 is an frugal number, since it uses more digits than its factorization.

123648995739049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47126 (or 23563 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 79.

The spelling of 123648995739049 in words is "one hundred twenty-three trillion, six hundred forty-eight billion, nine hundred ninety-five million, seven hundred thirty-nine thousand, forty-nine".