29198631168 has 756 divisors, whose sum is σ = 105949579008. Its totient is φ = 7994972160.

The previous prime is 29198631167. The next prime is 29198631173. The reversal of 29198631168 is 86113689192.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (29198631167) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 283481805 + ... + 283481907.

Almost surely, 2^29198631168 is an apocalyptic number.

29198631168 is a gapful number since it is divisible by the number (28) 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 29198631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52974789504).

29198631168 is an abundant number, since it is smaller than the sum of its proper divisors (76750947840).

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

29198631168 is an equidigital number, since it uses as much as digits as its factorization.

29198631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 146 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 29198631168 in words is "twenty-nine billion, one hundred ninety-eight million, six hundred thirty-one thousand, one hundred sixty-eight".