10134086494464 has 189 divisors, whose sum is σ = 30333122182713. Its totient is φ = 3377570420736.

The previous prime is 10134086494447. The next prime is 10134086494573. The reversal of 10134086494464 is 46449468043101.

The square root of 10134086494464 is 3183408.

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

10134086494464 is a `hidden beast` number, since 1 + 0 + 1 + 34 + 0 + 8 + 64 + 94 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9357432056064 + 776654438400 = 3058992^2 + 881280^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10134086494464.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1375228572 + ... + 1375235940.

Almost surely, 2^{10134086494464} is an apocalyptic number.

10134086494464 is the 3183408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134086494464

10134086494464 is an abundant number, since it is smaller than the sum of its proper divisors (20199035688249).

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

10134086494464 is an frugal number, since it uses more digits than its factorization.

10134086494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 10134086494464 in words is "ten trillion, one hundred thirty-four billion, eighty-six million, four hundred ninety-four thousand, four hundred sixty-four".