756125314848 has 54 divisors (see below), whose sum is σ = 2150273329659. Its totient is φ = 252036852672.

The previous prime is 756125314831. The next prime is 756125314853. The reversal of 756125314848 is 848413521657.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

756125314848 is a `hidden beast` number, since 7 + 5 + 6 + 125 + 31 + 484 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 378062657424 + 378062657424 = 614868^2 + 614868^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=614868.

It is a super-3 number, since 3×756125314848³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 756125314794 and 756125314803.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14731213 + ... + 14782451.

Almost surely, 2^756125314848 is an apocalyptic number.

It is an amenable number.

756125314848 is an abundant number, since it is smaller than the sum of its proper divisors (1394148014811).

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

756125314848 is an frugal number, since it uses more digits than its factorization.

756125314848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102494 (or 51244 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 756125314848 in words is "seven hundred fifty-six billion, one hundred twenty-five million, three hundred fourteen thousand, eight hundred forty-eight".