123757611264 has 405 divisors, whose sum is σ = 430504953417. Its totient is φ = 35258001408.

The previous prime is 123757611259. The next prime is 123757611293. The reversal of 123757611264 is 462116757321.

The square root of 123757611264 is 351792.

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

123757611264 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 5 + 7 + 611 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90837137664 + 32920473600 = 301392^2 + 181440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 354606162 + ... + 354606510.

Almost surely, 2^123757611264 is an apocalyptic number.

123757611264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

123757611264 is the 351792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123757611264

123757611264 is an abundant number, since it is smaller than the sum of its proper divisors (306747342153).

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

123757611264 is an frugal number, since it uses more digits than its factorization.

123757611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 361 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 123757611264 in words is "one hundred twenty-three billion, seven hundred fifty-seven million, six hundred eleven thousand, two hundred sixty-four".