124294581967504 has 45 divisors (see below), whose sum is σ = 260771616994473. Its totient is φ = 57366462568896.

The previous prime is 124294581967477. The next prime is 124294581967529. The reversal of 124294581967504 is 405769185492421.

The square root of 124294581967504 is 11148748.

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., 18386772480400 + 105907809487104 = 4287980^2 + 10291152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 124294581967504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 579627697 + ... + 579842095.

Almost surely, 2^{124294581967504} is an apocalyptic number.

124294581967504 is the 11148748-th square number.

It is an amenable number.

124294581967504 is an abundant number, since it is smaller than the sum of its proper divisors (136477035026969).

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

124294581967504 is an frugal number, since it uses more digits than its factorization.

124294581967504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428832 (or 214414 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 67.

The spelling of 124294581967504 in words is "one hundred twenty-four trillion, two hundred ninety-four billion, five hundred eighty-one million, nine hundred sixty-seven thousand, five hundred four".