4892169830625 has 405 divisors, whose sum is σ = 11320193073189. Its totient is φ = 2027801160000.

The previous prime is 4892169830567. The next prime is 4892169830641. The reversal of 4892169830625 is 5260389612984.

The square root of 4892169830625 is 2211825.

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

4892169830625 is a `hidden beast` number, since 4 + 8 + 9 + 216 + 98 + 306 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 383546114721 + 4508623715904 = 619311^2 + 2123352^2 .

It is not a de Polignac number, because 4892169830625 - 2⁷ = 4892169830497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 12773289184 + ... + 12773289566.

Almost surely, 2^{4892169830625} is an apocalyptic number.

4892169830625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4892169830625 is the 2211825-th square number.

4892169830625 is the 1105913-rd centered octagonal number.

It is an amenable number.

4892169830625 is an abundant number, since it is smaller than the sum of its proper divisors (6428023242564).

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

4892169830625 is an equidigital number, since it uses as much as digits as its factorization.

4892169830625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 4892169830625 in words is "four trillion, eight hundred ninety-two billion, one hundred sixty-nine million, eight hundred thirty thousand, six hundred twenty-five".