4123694656 has 63 divisors (see below), whose sum is σ = 8578786881. Its totient is φ = 1966550784.

The previous prime is 4123694651. The next prime is 4123694683. The reversal of 4123694656 is 6564963214.

The square root of 4123694656 is 64216.

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., 3026760256 + 1096934400 = 55016^2 + 33120^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4123694651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11815570 + ... + 11815918.

Almost surely, 2^4123694656 is an apocalyptic number.

4123694656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4123694656 is the 64216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123694656

4123694656 is an abundant number, since it is smaller than the sum of its proper divisors (4455092225).

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

4123694656 is an frugal number, since it uses more digits than its factorization.

4123694656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 374 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The cubic root of 4123694656 is about 1603.5979780315.

The spelling of 4123694656 in words is "four billion, one hundred twenty-three million, six hundred ninety-four thousand, six hundred fifty-six".