6149680821025 has 27 divisors (see below), whose sum is σ = 8870726024121. Its totient is φ = 4216864475040.

The previous prime is 6149680821007. The next prime is 6149680821041. The reversal of 6149680821025 is 5201280869416.

The square root of 6149680821025 is 2479855.

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

It can be written as a sum of positive squares in 4 ways, for example, as 497802213601 + 5651878607424 = 705551^2 + 2377368^2 .

It is not a de Polignac number, because 6149680821025 - 2³³ = 6141090886433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86759499 + ... + 86830351.

Almost surely, 2^{6149680821025} is an apocalyptic number.

6149680821025 is the 2479855-th square number.

6149680821025 is the 1239928-th centered octagonal number.

It is an amenable number.

6149680821025 is a deficient number, since it is larger than the sum of its proper divisors (2721045203096).

6149680821025 is an frugal number, since it uses more digits than its factorization.

6149680821025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141730 (or 70865 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 6149680821025 in words is "six trillion, one hundred forty-nine billion, six hundred eighty million, eight hundred twenty-one thousand, twenty-five".