60098263822249 has 27 divisors (see below), whose sum is σ = 61548567643173. Its totient is φ = 58681863067200.

The previous prime is 60098263822169. The next prime is 60098263822271. The reversal of 60098263822249 is 94222836289006.

The square root of 60098263822249 is 7752307.

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 56905252212249 + 3193011610000 = 7543557^2 + 1786900^2 .

It is a de Polignac number, because none of the positive numbers 2^k-60098263822249 is a prime.

It is a super-2 number, since 2×60098263822249² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60098263822549) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78972751029 + ... + 78972751789.

Almost surely, 2^{60098263822249} is an apocalyptic number.

60098263822249 is the 7752307-th square number.

60098263822249 is the 3876154-th centered octagonal number.

It is an amenable number.

60098263822249 is a deficient number, since it is larger than the sum of its proper divisors (1450303820924).

60098263822249 is an frugal number, since it uses more digits than its factorization.

60098263822249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 61.

The spelling of 60098263822249 in words is "sixty trillion, ninety-eight billion, two hundred sixty-three million, eight hundred twenty-two thousand, two hundred forty-nine".