1047778776064 has 44 divisors (see below), whose sum is σ = 2145620619828. Its totient is φ = 511111577600.

The previous prime is 1047778776061. The next prime is 1047778776167. The reversal of 1047778776064 is 4606778777401.

1047778776064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38541542400 + 1009237233664 = 196320^2 + 1004608^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 1047778775987 and 1047778776005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047778776061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12436327 + ... + 12520294.

Almost surely, 2^{1047778776064} is an apocalyptic number.

It is an amenable number.

1047778776064 is an abundant number, since it is smaller than the sum of its proper divisors (1097841843764).

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

1047778776064 is an equidigital number, since it uses as much as digits as its factorization.

1047778776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24956682 (or 24956664 counting only the distinct ones).

The product of its (nonzero) digits is 77446656, while the sum is 64.

The spelling of 1047778776064 in words is "one trillion, forty-seven billion, seven hundred seventy-eight million, seven hundred seventy-six thousand, sixty-four".