29002271616 has 384 divisors, whose sum is σ = 89759910240. Its totient is φ = 9316270080.

The previous prime is 29002271591. The next prime is 29002271647. The reversal of 29002271616 is 61617220092.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×29002271616² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 120341256 + ... + 120341496.

Almost surely, 2^29002271616 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 29002271616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44879955120).

29002271616 is an abundant number, since it is smaller than the sum of its proper divisors (60757638624).

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

29002271616 is an equidigital number, since it uses as much as digits as its factorization.

29002271616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 29002271616 in words is "twenty-nine billion, two million, two hundred seventy-one thousand, six hundred sixteen".