16129500984025 has 243 divisors, whose sum is σ = 24579459365349. Its totient is φ = 10486983936000.

The previous prime is 16129500984013. The next prime is 16129500984041. The reversal of 16129500984025 is 52048900592161.

It is a happy number.

The square root of 16129500984025 is 4016155.

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

It can be written as a sum of positive squares in 40 ways, for example, as 4581085280409 + 11548415703616 = 2140347^2 + 3398296^2 .

It is not a de Polignac number, because 16129500984025 - 2¹¹ = 16129500981977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 117733583757 + ... + 117733583893.

Almost surely, 2^{16129500984025} is an apocalyptic number.

16129500984025 is the 4016155-th square number.

16129500984025 is the 2008078-th centered octagonal number.

It is an amenable number.

16129500984025 is a deficient number, since it is larger than the sum of its proper divisors (8449958381324).

16129500984025 is a wasteful number, since it uses less digits than its factorization.

16129500984025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 16129500984025 in words is "sixteen trillion, one hundred twenty-nine billion, five hundred million, nine hundred eighty-four thousand, twenty-five".