61935281424 has 225 divisors, whose sum is σ = 186062087079. Its totient is φ = 19889530560.

The previous prime is 61935281413. The next prime is 61935281459. The reversal of 61935281424 is 42418253916.

The square root of 61935281424 is 248868.

It is a perfect power (a square), and thus also a powerful number.

61935281424 is a `hidden beast` number, since 6 + 1 + 93 + 528 + 14 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61935281424.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 277736577 + ... + 277736799.

Almost surely, 2^61935281424 is an apocalyptic number.

61935281424 is the 248868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61935281424

61935281424 is an abundant number, since it is smaller than the sum of its proper divisors (124126805655).

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

61935281424 is an equidigital number, since it uses as much as digits as its factorization.

61935281424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 259 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 61935281424 in words is "sixty-one billion, nine hundred thirty-five million, two hundred eighty-one thousand, four hundred twenty-four".