61480846224 has 240 divisors, whose sum is σ = 204025036800. Its totient is φ = 16912177920.

The previous prime is 61480846213. The next prime is 61480846243. The reversal of 61480846224 is 42264808416.

61480846224 is a `hidden beast` number, since 6 + 14 + 8 + 0 + 8 + 4 + 622 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61480846224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6213409 + ... + 6223295.

It is an arithmetic number, because the mean of its divisors is an integer number (850104320).

Almost surely, 2^61480846224 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 61480846224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102012518400).

61480846224 is an abundant number, since it is smaller than the sum of its proper divisors (142544190576).

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

61480846224 is a wasteful number, since it uses less digits than its factorization.

61480846224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10138 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 61480846224 in words is "sixty-one billion, four hundred eighty million, eight hundred forty-six thousand, two hundred twenty-four".