1148178683961 has 45 divisors (see below), whose sum is σ = 1742142681279. Its totient is φ = 753603466176.

The previous prime is 1148178683929. The next prime is 1148178683989. The reversal of 1148178683961 is 1693868718411.

The square root of 1148178683961 is 1071531.

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

1148178683961 is a `hidden beast` number, since 1 + 1 + 481 + 7 + 8 + 68 + 3 + 96 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 581856212025 + 566322471936 = 762795^2 + 752544^2 .

It is not a de Polignac number, because 1148178683961 - 2⁵ = 1148178683929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1148178683161) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 646132305 + ... + 646134081.

Almost surely, 2^{1148178683961} is an apocalyptic number.

1148178683961 is the 1071531-st square number.

1148178683961 is the 535766-th centered octagonal number.

It is an amenable number.

1148178683961 is a deficient number, since it is larger than the sum of its proper divisors (593963997318).

1148178683961 is an frugal number, since it uses more digits than its factorization.

1148178683961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 1847 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 1148178683961 in words is "one trillion, one hundred forty-eight billion, one hundred seventy-eight million, six hundred eighty-three thousand, nine hundred sixty-one".