61747414848 has 336 divisors, whose sum is σ = 207946752000. Its totient is φ = 17152238592.

The previous prime is 61747414823. The next prime is 61747414849. The reversal of 61747414848 is 84841474716.

61747414848 is a `hidden beast` number, since 617 + 4 + 7 + 4 + 14 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×61747414848² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61747414794 and 61747414803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61747414849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30888153 + ... + 30890151.

Almost surely, 2^61747414848 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 61747414848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103973376000).

61747414848 is an abundant number, since it is smaller than the sum of its proper divisors (146199337152).

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

61747414848 is a wasteful number, since it uses less digits than its factorization.

61747414848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2221 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 61747414848 in words is "sixty-one billion, seven hundred forty-seven million, four hundred fourteen thousand, eight hundred forty-eight".