6248192006961 has 12 divisors (see below), whose sum is σ = 9039115492992. Its totient is φ = 4159023217656.

The previous prime is 6248192006951. The next prime is 6248192006971. The reversal of 6248192006961 is 1696002918426.

6248192006961 is a `hidden beast` number, since 624 + 8 + 1 + 9 + 2 + 0 + 0 + 6 + 9 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (6248192006951) and next prime (6248192006971).

It is not a de Polignac number, because 6248192006961 - 2¹¹ = 6248192004913 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6248192006898 and 6248192006907.

It is not an unprimeable number, because it can be changed into a prime (6248192006911) 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 11 ways as a sum of consecutive naturals, for example, 536503881 + ... + 536515526.

It is an arithmetic number, because the mean of its divisors is an integer number (753259624416).

Almost surely, 2^{6248192006961} is an apocalyptic number.

It is an amenable number.

6248192006961 is a deficient number, since it is larger than the sum of its proper divisors (2790923486031).

6248192006961 is a wasteful number, since it uses less digits than its factorization.

6248192006961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073020060 (or 1073020057 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 6248192006961 in words is "six trillion, two hundred forty-eight billion, one hundred ninety-two million, six thousand, nine hundred sixty-one".