14329525710096 has 225 divisors, whose sum is σ = 42094593203509. Its totient is φ = 4706054035200.

The previous prime is 14329525710083. The next prime is 14329525710193. The reversal of 14329525710096 is 69001752592341.

The square root of 14329525710096 is 3785436.

It is a perfect power (a square), and thus also a powerful number.

14329525710096 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 9 + 525 + 7 + 100 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6134359911696 + 8195165798400 = 2476764^2 + 2862720^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9675573676 + ... + 9675575156.

Almost surely, 2^{14329525710096} is an apocalyptic number.

14329525710096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14329525710096 is the 3785436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14329525710096

14329525710096 is an abundant number, since it is smaller than the sum of its proper divisors (27765067493413).

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

14329525710096 is an frugal number, since it uses more digits than its factorization.

14329525710096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 14329525710096 in words is "fourteen trillion, three hundred twenty-nine billion, five hundred twenty-five million, seven hundred ten thousand, ninety-six".