111020466390625 has 189 divisors, whose sum is σ = 156100899363381. Its totient is φ = 78898248000000.

The previous prime is 111020466390619. The next prime is 111020466390667. The reversal of 111020466390625 is 526093664020111.

The square root of 111020466390625 is 10536625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 87642119657169 + 23378346733456 = 9361737^2 + 4835116^2 .

It is not a de Polignac number, because 111020466390625 - 2¹³ = 111020466382433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1144540890577 + ... + 1144540890673.

Almost surely, 2^{111020466390625} is an apocalyptic number.

111020466390625 is the 10536625-th square number.

111020466390625 is the 5268313-rd centered octagonal number.

It is an amenable number.

111020466390625 is a deficient number, since it is larger than the sum of its proper divisors (45080432972756).

111020466390625 is an frugal number, since it uses more digits than its factorization.

111020466390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 111020466390625 in words is "one hundred eleven trillion, twenty billion, four hundred sixty-six million, three hundred ninety thousand, six hundred twenty-five".