29449344960 has 1008 divisors, whose sum is σ = 125215009920. Its totient is φ = 6566676480.

The previous prime is 29449344959. The next prime is 29449344971. The reversal of 29449344960 is 6944394492.

It is a happy number.

29449344960 is a `hidden beast` number, since 2 + 94 + 493 + 4 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 29449344897 and 29449344906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224804095 + ... + 224804225.

It is an arithmetic number, because the mean of its divisors is an integer number (124221240).

Almost surely, 2^29449344960 is an apocalyptic number.

29449344960 is a gapful number since it is divisible by the number (20) 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 29449344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62607504960).

29449344960 is an abundant number, since it is smaller than the sum of its proper divisors (95765664960).

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

29449344960 is a wasteful number, since it uses less digits than its factorization.

29449344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 29449344960 in words is "twenty-nine billion, four hundred forty-nine million, three hundred forty-four thousand, nine hundred sixty".