1629466949472 has 192 divisors, whose sum is σ = 4399390195200. Its totient is φ = 527877402624.

The previous prime is 1629466949437. The next prime is 1629466949531. The reversal of 1629466949472 is 2749496649261.

It is a junction number, because it is equal to n+sod(n) for n = 1629466949397 and 1629466949406.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 235911843 + ... + 235918749.

It is an arithmetic number, because the mean of its divisors is an integer number (22913490600).

Almost surely, 2^{1629466949472} is an apocalyptic number.

1629466949472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1629466949472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199695097600).

1629466949472 is an abundant number, since it is smaller than the sum of its proper divisors (2769923245728).

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

1629466949472 is a wasteful number, since it uses less digits than its factorization.

1629466949472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7405 (or 7397 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 69.

The spelling of 1629466949472 in words is "one trillion, six hundred twenty-nine billion, four hundred sixty-six million, nine hundred forty-nine thousand, four hundred seventy-two".