29402163168 has 192 divisors, whose sum is σ = 93030819840. Its totient is φ = 7942897152.

The previous prime is 29402163151. The next prime is 29402163169. The reversal of 29402163168 is 86136120492.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29402163169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7492855 + ... + 7496777.

It is an arithmetic number, because the mean of its divisors is an integer number (484535520).

Almost surely, 2^29402163168 is an apocalyptic number.

29402163168 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 29402163168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46515409920).

29402163168 is an abundant number, since it is smaller than the sum of its proper divisors (63628656672).

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

29402163168 is a wasteful number, since it uses less digits than its factorization.

29402163168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 29402163168 in words is "twenty-nine billion, four hundred two million, one hundred sixty-three thousand, one hundred sixty-eight".