29134393344 has 351 divisors, whose sum is σ = 98672365467. Its totient is φ = 8258568192.

The previous prime is 29134393339. The next prime is 29134393357. The reversal of 29134393344 is 44339343192.

The square root of 29134393344 is 170688.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 29134393344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229404609 + ... + 229404735.

Almost surely, 2^29134393344 is an apocalyptic number.

29134393344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29134393344 is the 170688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29134393344

29134393344 is an abundant number, since it is smaller than the sum of its proper divisors (69537972123).

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

29134393344 is an equidigital number, since it uses as much as digits as its factorization.

29134393344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 139 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The spelling of 29134393344 in words is "twenty-nine billion, one hundred thirty-four million, three hundred ninety-three thousand, three hundred forty-four".