1729090963656 has 48 divisors (see below), whose sum is σ = 5351948222400. Its totient is φ = 494025989472.

The previous prime is 1729090963631. The next prime is 1729090963709. The reversal of 1729090963656 is 6563690909271.

1729090963656 is a `hidden beast` number, since 17 + 2 + 90 + 90 + 96 + 365 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1729090963593 and 1729090963602.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1715367516 + ... + 1715368523.

It is an arithmetic number, because the mean of its divisors is an integer number (111498921300).

Almost surely, 2^{1729090963656} is an apocalyptic number.

It is an amenable number.

1729090963656 is an abundant number, since it is smaller than the sum of its proper divisors (3622857258744).

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

1729090963656 is a wasteful number, since it uses less digits than its factorization.

1729090963656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430736058 (or 3430736051 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 1729090963656 in words is "one trillion, seven hundred twenty-nine billion, ninety million, nine hundred sixty-three thousand, six hundred fifty-six".