61147411573248 has 2880 divisors, whose sum is σ = 246542930599680. Its totient is φ = 14160730521600.

The previous prime is 61147411573229. The next prime is 61147411573289. The reversal of 61147411573248 is 84237511474116.

61147411573248 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 7 + 41 + 1 + 573 + 24 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61147411573194 and 61147411573203.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 267019264398 + ... + 267019264626.

It is an arithmetic number, because the mean of its divisors is an integer number (85605184236).

Almost surely, 2^{61147411573248} 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 61147411573248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123271465299840).

61147411573248 is an abundant number, since it is smaller than the sum of its proper divisors (185395519026432).

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

61147411573248 is a wasteful number, since it uses less digits than its factorization.

61147411573248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 399 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 61147411573248 in words is "sixty-one trillion, one hundred forty-seven billion, four hundred eleven million, five hundred seventy-three thousand, two hundred forty-eight".