29683882144 has 96 divisors (see below), whose sum is σ = 68150388096. Its totient is φ = 12463027200.

The previous prime is 29683882127. The next prime is 29683882177. The reversal of 29683882144 is 44128838692.

It is a super-2 number, since 2×29683882144² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10410319 + ... + 10413169.

It is an arithmetic number, because the mean of its divisors is an integer number (709899876).

Almost surely, 2^29683882144 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 29683882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34075194048).

29683882144 is an abundant number, since it is smaller than the sum of its proper divisors (38466505952).

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

29683882144 is a wasteful number, since it uses less digits than its factorization.

29683882144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3790 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 55.

The spelling of 29683882144 in words is "twenty-nine billion, six hundred eighty-three million, eight hundred eighty-two thousand, one hundred forty-four".