29372378112 has 924 divisors, whose sum is σ = 113246770536. Its totient is φ = 7524679680.

The previous prime is 29372378111. The next prime is 29372378117. The reversal of 29372378112 is 21187327392.

It is a tau number, because it is divible by the number of its divisors (924).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (254016) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (29372378111) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 402361308 + ... + 402361380.

Almost surely, 2^29372378112 is an apocalyptic number.

29372378112 is a gapful number since it is divisible by the number (22) 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 29372378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56623385268).

29372378112 is an abundant number, since it is smaller than the sum of its proper divisors (83874392424).

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

29372378112 is an equidigital number, since it uses as much as digits as its factorization.

29372378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 96 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 29372378112 in words is "twenty-nine billion, three hundred seventy-two million, three hundred seventy-eight thousand, one hundred twelve".