29209230144 has 252 divisors, whose sum is σ = 88097485476. Its totient is φ = 9251979264.

The previous prime is 29209230143. The next prime is 29209230151. The reversal of 29209230144 is 44103290292.

It can be written as a sum of positive squares in 2 ways, for example, as 24059732544 + 5149497600 = 155112^2 + 71760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29209230099 and 29209230108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29209230143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78308742 + ... + 78309114.

Almost surely, 2^29209230144 is an apocalyptic number.

29209230144 is a gapful number since it is divisible by the number (24) 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 29209230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44048742738).

29209230144 is an abundant number, since it is smaller than the sum of its proper divisors (58888255332).

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

29209230144 is a wasteful number, since it uses less digits than its factorization.

29209230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 29209230144 in words is "twenty-nine billion, two hundred nine million, two hundred thirty thousand, one hundred forty-four".