29943963648 has 168 divisors, whose sum is σ = 86785534836. Its totient is φ = 9948364800.

The previous prime is 29943963619. The next prime is 29943963671. The reversal of 29943963648 is 84636934992.

It can be written as a sum of positive squares in 2 ways, for example, as 27838255104 + 2105708544 = 166848^2 + 45888^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33988168 + ... + 33989048.

Almost surely, 2^29943963648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29943963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43392767418).

29943963648 is an abundant number, since it is smaller than the sum of its proper divisors (56841571188).

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

29943963648 is an equidigital number, since it uses as much as digits as its factorization.

29943963648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1347 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 29943963648 in words is "twenty-nine billion, nine hundred forty-three million, nine hundred sixty-three thousand, six hundred forty-eight".