29479731456 has 288 divisors, whose sum is σ = 93381039360. Its totient is φ = 8077934592.

The previous prime is 29479731451. The next prime is 29479731469. The reversal of 29479731456 is 65413797492.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29479731396 and 29479731405.

It is not an unprimeable number, because it can be changed into a prime (29479731451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26970846 + ... + 26971938.

It is an arithmetic number, because the mean of its divisors is an integer number (324239720).

Almost surely, 2^29479731456 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 29479731456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46690519680).

29479731456 is an abundant number, since it is smaller than the sum of its proper divisors (63901307904).

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

29479731456 is a wasteful number, since it uses less digits than its factorization.

29479731456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1307 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 57.

The spelling of 29479731456 in words is "twenty-nine billion, four hundred seventy-nine million, seven hundred thirty-one thousand, four hundred fifty-six".