101963346489 has 27 divisors (see below), whose sum is σ = 148416777327. Its totient is φ = 67455077616.

The previous prime is 101963346451. The next prime is 101963346547. The reversal of 101963346489 is 984643369101.

The square root of 101963346489 is 319317.

It is a perfect power (a square), and thus also a powerful number.

101963346489 is a `hidden beast` number, since 1 + 0 + 1 + 96 + 33 + 46 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23726781225 + 78236565264 = 154035^2 + 279708^2 .

It is not a de Polignac number, because 101963346489 - 2¹³ = 101963338297 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (101963346439) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 156145687 + ... + 156146339.

Almost surely, 2^101963346489 is an apocalyptic number.

101963346489 is the 319317-th square number.

101963346489 is the 159659-th centered octagonal number.

It is an amenable number.

101963346489 is a deficient number, since it is larger than the sum of its proper divisors (46453430838).

101963346489 is an frugal number, since it uses more digits than its factorization.

101963346489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 101963346489 in words is "one hundred one billion, nine hundred sixty-three million, three hundred forty-six thousand, four hundred eighty-nine".