29871438048 has 144 divisors (see below), whose sum is σ = 89280696960. Its totient is φ = 9455415552.

The previous prime is 29871437951. The next prime is 29871438061. The reversal of 29871438048 is 84083417892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×29871438048² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29871437985 and 29871438003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904515 + ... + 936957.

It is an arithmetic number, because the mean of its divisors is an integer number (620004840).

Almost surely, 2^29871438048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29871438048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640348480).

29871438048 is an abundant number, since it is smaller than the sum of its proper divisors (59409258912).

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

29871438048 is a wasteful number, since it uses less digits than its factorization.

29871438048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32621 (or 32610 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 29871438048 in words is "twenty-nine billion, eight hundred seventy-one million, four hundred thirty-eight thousand, forty-eight".