29474152344 has 896 divisors, whose sum is σ = 111643392000. Its totient is φ = 7074542592.

The previous prime is 29474152321. The next prime is 29474152361. The reversal of 29474152344 is 44325147492.

29474152344 is a `hidden beast` number, since 2 + 9 + 47 + 41 + 523 + 44 = 666.

Its product of digits (967680) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 29474152344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 373090497 + ... + 373090575.

It is an arithmetic number, because the mean of its divisors is an integer number (124602000).

Almost surely, 2^29474152344 is an apocalyptic number.

29474152344 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 29474152344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55821696000).

29474152344 is an abundant number, since it is smaller than the sum of its proper divisors (82169239656).

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

29474152344 is a wasteful number, since it uses less digits than its factorization.

29474152344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 29474152344 in words is "twenty-nine billion, four hundred seventy-four million, one hundred fifty-two thousand, three hundred forty-four".