29233152000000 has 1596 divisors, whose sum is σ = 115546460595748. Its totient is φ = 7077888000000.

The previous prime is 29233151999983. The next prime is 29233152000113. The reversal of 29233152000000 is 25133292.

It can be written as a sum of positive squares in 14 ways, for example, as 10643671351296 + 18589480648704 = 3262464^2 + 4311552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 479231999970 + ... + 479232000030.

Almost surely, 2^{29233152000000} is an apocalyptic number.

29233152000000 is a gapful number since it is divisible by the number (20) 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 29233152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57773230297874).

29233152000000 is an abundant number, since it is smaller than the sum of its proper divisors (86313308595748).

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

29233152000000 is an frugal number, since it uses more digits than its factorization.

29233152000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 29233152000000 its reverse (25133292), we get a palindrome (29233177133292).

The spelling of 29233152000000 in words is "twenty-nine trillion, two hundred thirty-three billion, one hundred fifty-two million", and thus it is an aban number.