10229714304 has 192 divisors, whose sum is σ = 29575512000. Its totient is φ = 3124085760.

The previous prime is 10229714291. The next prime is 10229714423. The reversal of 10229714304 is 40341792201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7010727 + ... + 7012185.

It is an arithmetic number, because the mean of its divisors is an integer number (154039125).

Almost surely, 2^10229714304 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 10229714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787756000).

10229714304 is an abundant number, since it is smaller than the sum of its proper divisors (19345797696).

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

10229714304 is a wasteful number, since it uses less digits than its factorization.

10229714304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10229714304 in words is "ten billion, two hundred twenty-nine million, seven hundred fourteen thousand, three hundred four".