61775714448 has 320 divisors, whose sum is σ = 219089152000. Its totient is φ = 16268760576.

The previous prime is 61775714431. The next prime is 61775714453. The reversal of 61775714448 is 84441757716.

61775714448 is a `hidden beast` number, since 61 + 7 + 7 + 571 + 4 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61775714394 and 61775714403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2111343 + ... + 2140401.

It is an arithmetic number, because the mean of its divisors is an integer number (684653600).

Almost surely, 2^61775714448 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 61775714448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109544576000).

61775714448 is an abundant number, since it is smaller than the sum of its proper divisors (157313437552).

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

61775714448 is a wasteful number, since it uses less digits than its factorization.

61775714448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29139 (or 29127 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The spelling of 61775714448 in words is "sixty-one billion, seven hundred seventy-five million, seven hundred fourteen thousand, four hundred forty-eight".