29846225164 has 108 divisors (see below), whose sum is σ = 64566674760. Its totient is φ = 12036687264.

The previous prime is 29846225159. The next prime is 29846225173. The reversal of 29846225164 is 46152264892.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200310162 + ... + 200310310.

Almost surely, 2^29846225164 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 29846225164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32283337380).

29846225164 is an abundant number, since it is smaller than the sum of its proper divisors (34720449596).

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

29846225164 is an equidigital number, since it uses as much as digits as its factorization.

29846225164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 177 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The spelling of 29846225164 in words is "twenty-nine billion, eight hundred forty-six million, two hundred twenty-five thousand, one hundred sixty-four".