61365550482432 has 880 divisors, whose sum is σ = 212699582460288. Its totient is φ = 17261057802240.

The previous prime is 61365550482421. The next prime is 61365550482443. The reversal of 61365550482432 is 23428405556316.

61365550482432 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 5 + 550 + 4 + 82 + 4 + 3 + 2 = 666.

61365550482432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61365550482421) and next prime (61365550482443).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11094835507 + ... + 11094841037.

Almost surely, 2^{61365550482432} 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 61365550482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106349791230144).

61365550482432 is an abundant number, since it is smaller than the sum of its proper divisors (151334031977856).

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

61365550482432 is a wasteful number, since it uses less digits than its factorization.

61365550482432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 61365550482432 in words is "sixty-one trillion, three hundred sixty-five billion, five hundred fifty million, four hundred eighty-two thousand, four hundred thirty-two".