123965959744 has 63 divisors (see below), whose sum is σ = 270458742673. Its totient is φ = 56334080000.

The previous prime is 123965959729. The next prime is 123965959757. The reversal of 123965959744 is 447959569321.

The square root of 123965959744 is 352088.

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., 4968558144 + 118997401600 = 70488^2 + 344960^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

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, 30981744 + ... + 30985744.

Almost surely, 2^123965959744 is an apocalyptic number.

123965959744 is the 352088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123965959744

123965959744 is an abundant number, since it is smaller than the sum of its proper divisors (146492782929).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123965959744 is an frugal number, since it uses more digits than its factorization.

123965959744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036 (or 4014 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 64.

Multiplying 123965959744 by its sum of digits (64), we get a square (7933821423616 = 2816704²).

123965959744 divided by its sum of digits (64) gives a square (1936968121 = 44011²).

The spelling of 123965959744 in words is "one hundred twenty-three billion, nine hundred sixty-five million, nine hundred fifty-nine thousand, seven hundred forty-four".