61317441159936 has 288 divisors, whose sum is σ = 176500059574272. Its totient is φ = 18786183413760.

The previous prime is 61317441159929. The next prime is 61317441159943. The reversal of 61317441159936 is 63995114471316.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61317441159929) and next prime (61317441159943).

It is a self number, because there is not a number n which added to its sum of digits gives 61317441159936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4156261936 + ... + 4156276688.

Almost surely, 2^{61317441159936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61317441159936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88250029787136).

61317441159936 is an abundant number, since it is smaller than the sum of its proper divisors (115182618414336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61317441159936 is a wasteful number, since it uses less digits than its factorization.

61317441159936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16539 (or 16525 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 60.

The spelling of 61317441159936 in words is "sixty-one trillion, three hundred seventeen billion, four hundred forty-one million, one hundred fifty-nine thousand, nine hundred thirty-six".