29113118496 has 288 divisors, whose sum is σ = 107044374528. Its totient is φ = 7561693440.

The previous prime is 29113118483. The next prime is 29113118497. The reversal of 29113118496 is 69481131192.

29113118496 is a `hidden beast` number, since 29 + 1 + 131 + 1 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (29113118497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574441 + ... + 623063.

It is an arithmetic number, because the mean of its divisors is an integer number (371681856).

Almost surely, 2^29113118496 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 29113118496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53522187264).

29113118496 is an abundant number, since it is smaller than the sum of its proper divisors (77931256032).

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

29113118496 is a wasteful number, since it uses less digits than its factorization.

29113118496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48666 (or 48646 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 29113118496 in words is "twenty-nine billion, one hundred thirteen million, one hundred eighteen thousand, four hundred ninety-six".