1629492936066 has 96 divisors (see below), whose sum is σ = 3625402088880. Its totient is φ = 528788570112.

The previous prime is 1629492936059. The next prime is 1629492936089. The reversal of 1629492936066 is 6606392949261.

1629492936066 is a `hidden beast` number, since 1 + 6 + 29 + 492 + 9 + 3 + 60 + 66 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 947159114841 + 682333821225 = 973221^2 + 826035^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1629492935994 and 1629492936012.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 69337230 + ... + 69360726.

Almost surely, 2^{1629492936066} is an apocalyptic number.

1629492936066 is an abundant number, since it is smaller than the sum of its proper divisors (1995909152814).

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

1629492936066 is a wasteful number, since it uses less digits than its factorization.

1629492936066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24260 (or 24257 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 1629492936066 in words is "one trillion, six hundred twenty-nine billion, four hundred ninety-two million, nine hundred thirty-six thousand, sixty-six".