29848123224090 has 96 divisors (see below), whose sum is σ = 78799547174400. Its totient is φ = 7837358300928.

The previous prime is 29848123224089. The next prime is 29848123224131. The reversal of 29848123224090 is 9042232184892.

29848123224090 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 81 + 232 + 240 + 90 = 666.

It is a super-3 number, since 3×29848123224090³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143199 + ... + 7727661.

It is an arithmetic number, because the mean of its divisors is an integer number (820828616400).

Almost surely, 2^{29848123224090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29848123224090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39399773587200).

29848123224090 is an abundant number, since it is smaller than the sum of its proper divisors (48951423950310).

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

29848123224090 is a wasteful number, since it uses less digits than its factorization.

29848123224090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7585148 (or 7585145 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 29848123224090 in words is "twenty-nine trillion, eight hundred forty-eight billion, one hundred twenty-three million, two hundred twenty-four thousand, ninety".