247738785678401 has 16 divisors (see below), whose sum is σ = 256147285026000. Its totient is φ = 239420502908928.

The previous prime is 247738785678367. The next prime is 247738785678437. The reversal of 247738785678401 is 104876587837742.

It is a Cunningham number, because it is equal to 15739720²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 89865650176 + 247648920028225 = 299776^2 + 15736865^2 .

It is not a de Polignac number, because 247738785678401 - 2⁶ = 247738785678337 is a prime.

It is a super-2 number, since 2×247738785678401² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (247738785678491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284968481 + ... + 285836513.

It is an arithmetic number, because the mean of its divisors is an integer number (16009205314125).

Almost surely, 2^{247738785678401} is an apocalyptic number.

It is an amenable number.

247738785678401 is a deficient number, since it is larger than the sum of its proper divisors (8408499347599).

247738785678401 is a wasteful number, since it uses less digits than its factorization.

247738785678401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919988.

The product of its (nonzero) digits is 3540418560, while the sum is 77.

The spelling of 247738785678401 in words is "two hundred forty-seven trillion, seven hundred thirty-eight billion, seven hundred eighty-five million, six hundred seventy-eight thousand, four hundred one".