98270047265625 has 243 divisors, whose sum is σ = 189091066759543. Its totient is φ = 49169100000000.

The previous prime is 98270047265573. The next prime is 98270047265639. The reversal of 98270047265625 is 52656274007289.

The square root of 98270047265625 is 9913125.

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

98270047265625 is a `hidden beast` number, since 9 + 8 + 2 + 7 + 0 + 0 + 47 + 26 + 562 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 23692176586521 + 74577870679104 = 4867461^2 + 8635848^2 .

It is not a de Polignac number, because 98270047265625 - 2⁹ = 98270047265113 is a prime.

It is a Duffinian number.

It is a Curzon 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, 315980859220 + ... + 315980859530.

Almost surely, 2^{98270047265625} is an apocalyptic number.

98270047265625 is the 9913125-th square number.

98270047265625 is the 4956563-rd centered octagonal number.

It is an amenable number.

98270047265625 is a deficient number, since it is larger than the sum of its proper divisors (90821019493918).

98270047265625 is an frugal number, since it uses more digits than its factorization.

98270047265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 98270047265625 in words is "ninety-eight trillion, two hundred seventy billion, forty-seven million, two hundred sixty-five thousand, six hundred twenty-five".