29414045114496 has 192 divisors, whose sum is σ = 96767157876480. Its totient is φ = 8401105281024.

The previous prime is 29414045114479. The next prime is 29414045114497. The reversal of 29414045114496 is 69441154041492.

It is a happy number.

29414045114496 is a `hidden beast` number, since 2 + 9 + 4 + 1 + 40 + 451 + 144 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (29414045114497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22731865 + ... + 23990951.

It is an arithmetic number, because the mean of its divisors is an integer number (503995613940).

Almost surely, 2^{29414045114496} 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 29414045114496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48383578938240).

29414045114496 is an abundant number, since it is smaller than the sum of its proper divisors (67353112761984).

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

29414045114496 is a wasteful number, since it uses less digits than its factorization.

29414045114496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262011 (or 1261996 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 29414045114496 in words is "twenty-nine trillion, four hundred fourteen billion, forty-five million, one hundred fourteen thousand, four hundred ninety-six".