1405345385677 has 16 divisors (see below), whose sum is σ = 1506310997040. Its totient is φ = 1308529216512.

The previous prime is 1405345385671. The next prime is 1405345385687. The reversal of 1405345385677 is 7765835435041.

It can be written as a sum of positive squares in 8 ways, for example, as 40313009961 + 1365032375716 = 200781^2 + 1168346^2 .

It is a cyclic number.

It is not a de Polignac number, because 1405345385677 - 2¹⁵ = 1405345352909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405345385671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5674038 + ... + 5916535.

It is an arithmetic number, because the mean of its divisors is an integer number (94144437315).

Almost surely, 2^{1405345385677} is an apocalyptic number.

It is an amenable number.

1405345385677 is a deficient number, since it is larger than the sum of its proper divisors (100965611363).

1405345385677 is a wasteful number, since it uses less digits than its factorization.

1405345385677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11590752.

The product of its (nonzero) digits is 42336000, while the sum is 58.

The spelling of 1405345385677 in words is "one trillion, four hundred five billion, three hundred forty-five million, three hundred eighty-five thousand, six hundred seventy-seven".