29236896144 has 45 divisors (see below), whose sum is σ = 81828445153. Its totient is φ = 9744948096.

The previous prime is 29236896127. The next prime is 29236896151. The reversal of 29236896144 is 44169863292.

The square root of 29236896144 is 170988.

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

It can be written as a sum of positive squares in only one way, i.e., 21436473744 + 7800422400 = 146412^2 + 88320^2 .

It is a super-2 number, since 2×29236896144² (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2044732 + ... + 2058980.

Almost surely, 2^29236896144 is an apocalyptic number.

29236896144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29236896144 is the 170988-th square number.

It is an amenable number.

29236896144 is an abundant number, since it is smaller than the sum of its proper divisors (52591549009).

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

29236896144 is an frugal number, since it uses more digits than its factorization.

29236896144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28512 (or 14254 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 29236896144 in words is "twenty-nine billion, two hundred thirty-six million, eight hundred ninety-six thousand, one hundred forty-four".