7148985292801 has 24 divisors (see below), whose sum is σ = 7965026115200. Its totient is φ = 6410696292000.

The previous prime is 7148985292781. The next prime is 7148985292807. The reversal of 7148985292801 is 1082925898417.

It is a de Polignac number, because none of the positive numbers 2^k-7148985292801 is a prime.

It is a super-2 number, since 2×7148985292801² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7148985292807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9690715 + ... + 10402303.

Almost surely, 2^{7148985292801} is an apocalyptic number.

It is an amenable number.

7148985292801 is a deficient number, since it is larger than the sum of its proper divisors (816040822399).

7148985292801 is a wasteful number, since it uses less digits than its factorization.

7148985292801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712741 (or 712730 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 64.

The spelling of 7148985292801 in words is "seven trillion, one hundred forty-eight billion, nine hundred eighty-five million, two hundred ninety-two thousand, eight hundred one".