4902792350625 has 225 divisors, whose sum is σ = 9923236361181. Its totient is φ = 2410493904000.

The previous prime is 4902792350587. The next prime is 4902792350633. The reversal of 4902792350625 is 5260532972094.

The square root of 4902792350625 is 2214225.

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

4902792350625 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 7 + 9 + 2 + 3 + 5 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 3539278402209 + 1363513948416 = 1881297^2 + 1167696^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 4902792350625 - 2⁷ = 4902792350497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 6476607747 + ... + 6476608503.

Almost surely, 2^{4902792350625} is an apocalyptic number.

4902792350625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4902792350625 is the 2214225-th square number.

4902792350625 is the 1107113-rd centered octagonal number.

It is an amenable number.

4902792350625 is an abundant number, since it is smaller than the sum of its proper divisors (5020444010556).

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

4902792350625 is an frugal number, since it uses more digits than its factorization.

4902792350625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 4902792350625 in words is "four trillion, nine hundred two billion, seven hundred ninety-two million, three hundred fifty thousand, six hundred twenty-five".