1048776778401 has 24 divisors (see below), whose sum is σ = 1562247843072. Its totient is φ = 625202239200.

The previous prime is 1048776778393. The next prime is 1048776778453.

1048776778401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1048776778401 - 2³ = 1048776778393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1048776778481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23659761 + ... + 23704046.

It is an arithmetic number, because the mean of its divisors is an integer number (65093660128).

Almost surely, 2^{1048776778401} is an apocalyptic number.

1048776778401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1048776778401 is a deficient number, since it is larger than the sum of its proper divisors (513471064671).

1048776778401 is a wasteful number, since it uses less digits than its factorization.

1048776778401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47363893 (or 47363882 counting only the distinct ones).

The product of its (nonzero) digits is 14751744, while the sum is 60.

The spelling of 1048776778401 in words is "one trillion, forty-eight billion, seven hundred seventy-six million, seven hundred seventy-eight thousand, four hundred one".