7148249251641 has 21 divisors (see below), whose sum is σ = 10717579333429. Its totient is φ = 4765451375916.

The previous prime is 7148249251639. The next prime is 7148249251667. The reversal of 7148249251641 is 1461529428417.

The square root of 7148249251641 is 2673621.

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

7148249251641 is a `hidden beast` number, since 7 + 1 + 4 + 82 + 4 + 9 + 2 + 516 + 41 = 666.

It is not a de Polignac number, because 7148249251641 - 2¹ = 7148249251639 is a prime.

It is a super-2 number, since 2×7148249251641² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7148249251601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 72138256 + ... + 72237278.

Almost surely, 2^{7148249251641} is an apocalyptic number.

7148249251641 is the 2673621-st square number.

7148249251641 is the 1336811-st centered octagonal number.

It is an amenable number.

7148249251641 is a deficient number, since it is larger than the sum of its proper divisors (3569330081788).

7148249251641 is an frugal number, since it uses more digits than its factorization.

7148249251641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198064 (or 99026 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 7148249251641 in words is "seven trillion, one hundred forty-eight billion, two hundred forty-nine million, two hundred fifty-one thousand, six hundred forty-one".