29094868224 has 288 divisors, whose sum is σ = 87920452480. Its totient is φ = 9607403520.

The previous prime is 29094868147. The next prime is 29094868289. The reversal of 29094868224 is 42286849092.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×29094868224² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87899739 + ... + 87900069.

Almost surely, 2^29094868224 is an apocalyptic number.

29094868224 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 29094868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43960226240).

29094868224 is an abundant number, since it is smaller than the sum of its proper divisors (58825584256).

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

29094868224 is an frugal number, since it uses more digits than its factorization.

29094868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 493 counting only the distinct ones).

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

The spelling of 29094868224 in words is "twenty-nine billion, ninety-four million, eight hundred sixty-eight thousand, two hundred twenty-four".