1046148416401 has 12 divisors (see below), whose sum is σ = 1152710215300. Its totient is φ = 948718679040.

The previous prime is 1046148416393. The next prime is 1046148416459.

1046148416401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 825953792400 + 220194624001 = 908820^2 + 469249^2 .

It is not a de Polignac number, because 1046148416401 - 2³ = 1046148416393 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1046148416471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10520016 + ... + 10618993.

Almost surely, 2^{1046148416401} is an apocalyptic number.

1046148416401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1046148416401 is a deficient number, since it is larger than the sum of its proper divisors (106561798899).

1046148416401 is a wasteful number, since it uses less digits than its factorization.

1046148416401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21139440 (or 21139429 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 1046148416401 in words is "one trillion, forty-six billion, one hundred forty-eight million, four hundred sixteen thousand, four hundred one".