29093123664 has 120 divisors (see below), whose sum is σ = 89652824352. Its totient is φ = 8733653760.

The previous prime is 29093123663. The next prime is 29093123677. The reversal of 29093123664 is 46632139092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29093123663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83662 + ... + 255314.

Almost surely, 2^29093123664 is an apocalyptic number.

29093123664 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 29093123664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44826412176).

29093123664 is an abundant number, since it is smaller than the sum of its proper divisors (60559700688).

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

29093123664 is a wasteful number, since it uses less digits than its factorization.

29093123664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171785 (or 171776 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 29093123664 in words is "twenty-nine billion, ninety-three million, one hundred twenty-three thousand, six hundred sixty-four".