123503747761 has 9 divisors (see below), whose sum is σ = 124824561771. Its totient is φ = 122196775872.

The previous prime is 123503747747. The next prime is 123503747777. The reversal of 123503747761 is 167747305321.

The square root of 123503747761 is 351431.

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., 55457895025 + 68045852736 = 235495^2 + 260856^2 .

It is not a de Polignac number, because 123503747761 - 2²⁷ = 123369530033 is a prime.

It is a super-2 number, since 2×123503747761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123503744761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34086996 + ... + 34090618.

Almost surely, 2^123503747761 is an apocalyptic number.

123503747761 is the 351431-st square number.

123503747761 is the 175716-th centered octagonal number.

It is an amenable number.

123503747761 is a deficient number, since it is larger than the sum of its proper divisors (1320814010).

123503747761 is an frugal number, since it uses more digits than its factorization.

123503747761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 123503747761 in words is "one hundred twenty-three billion, five hundred three million, seven hundred forty-seven thousand, seven hundred sixty-one".