1634380834361 has 32 divisors (see below), whose sum is σ = 1815767331840. Its totient is φ = 1458790603200.

The previous prime is 1634380834327. The next prime is 1634380834367.

1634380834361 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1634380834361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1634380834367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50286326 + ... + 50318816.

It is an arithmetic number, because the mean of its divisors is an integer number (56742729120).

Almost surely, 2^{1634380834361} is an apocalyptic number.

1634380834361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1634380834361 is a deficient number, since it is larger than the sum of its proper divisors (181386497479).

1634380834361 is a wasteful number, since it uses less digits than its factorization.

1634380834361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33005.

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 1634380834361 in words is "one trillion, six hundred thirty-four billion, three hundred eighty million, eight hundred thirty-four thousand, three hundred sixty-one".