10148378665104 has 45 divisors (see below), whose sum is σ = 28401472277139. Its totient is φ = 3382780145760.

The previous prime is 10148378665099. The next prime is 10148378665171. The reversal of 10148378665104 is 40156687384101.

The square root of 10148378665104 is 3185652.

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

10148378665104 is a `hidden beast` number, since 1 + 0 + 1 + 48 + 3 + 7 + 86 + 6 + 510 + 4 = 666.

It is an unprimeable number.

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, 38095089 + ... + 38360559.

Almost surely, 2^{10148378665104} is an apocalyptic number.

10148378665104 is the 3185652-nd square number.

It is an amenable number.

10148378665104 is an abundant number, since it is smaller than the sum of its proper divisors (18253093612035).

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

10148378665104 is an frugal number, since it uses more digits than its factorization.

10148378665104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530956 (or 265476 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10148378665104 in words is "ten trillion, one hundred forty-eight billion, three hundred seventy-eight million, six hundred sixty-five thousand, one hundred four".