29123743104 has 480 divisors, whose sum is σ = 93142605600. Its totient is φ = 9025136640.

The previous prime is 29123743063. The next prime is 29123743133. The reversal of 29123743104 is 40134732192.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 368654937 + ... + 368655015.

It is an arithmetic number, because the mean of its divisors is an integer number (194047095).

Almost surely, 2^29123743104 is an apocalyptic number.

29123743104 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 29123743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46571302800).

29123743104 is an abundant number, since it is smaller than the sum of its proper divisors (64018862496).

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

29123743104 is an equidigital number, since it uses as much as digits as its factorization.

29123743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 29123743104 in words is "twenty-nine billion, one hundred twenty-three million, seven hundred forty-three thousand, one hundred four".