1046764676401 has 16 divisors (see below), whose sum is σ = 1093980090240. Its totient is φ = 1000307889280.

The previous prime is 1046764676339. The next prime is 1046764676429.

1046764676401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1046764676401 - 2²³ = 1046756287793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1046764676431) 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 15 ways as a sum of consecutive naturals, for example, 3250236 + ... + 3557746.

It is an arithmetic number, because the mean of its divisors is an integer number (68373755640).

Almost surely, 2^{1046764676401} is an apocalyptic number.

It is an amenable number.

1046764676401 is a deficient number, since it is larger than the sum of its proper divisors (47215413839).

1046764676401 is a wasteful number, since it uses less digits than its factorization.

1046764676401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308744.

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 1046764676401 in words is "one trillion, forty-six billion, seven hundred sixty-four million, six hundred seventy-six thousand, four hundred one".