61444355328 has 360 divisors, whose sum is σ = 189220667328. Its totient is φ = 19819634688.

The previous prime is 61444355299. The next prime is 61444355347. The reversal of 61444355328 is 82355344416.

61444355328 is a `hidden beast` number, since 6 + 144 + 435 + 53 + 28 = 666.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122155525 + ... + 122156027.

Almost surely, 2^61444355328 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 61444355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94610333664).

61444355328 is an abundant number, since it is smaller than the sum of its proper divisors (127776312000).

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

61444355328 is a wasteful number, since it uses less digits than its factorization.

61444355328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 688 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 61444355328 in words is "sixty-one billion, four hundred forty-four million, three hundred fifty-five thousand, three hundred twenty-eight".