61633433433616 has 80 divisors (see below), whose sum is σ = 131855016238848. Its totient is φ = 27674552476800.

The previous prime is 61633433433613. The next prime is 61633433433617.

61633433433616 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (61633433433613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132218071 + ... + 132683401.

Almost surely, 2^{61633433433616} 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 61633433433616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65927508119424).

61633433433616 is an abundant number, since it is smaller than the sum of its proper divisors (70221582805232).

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

61633433433616 is a wasteful number, since it uses less digits than its factorization.

61633433433616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474500 (or 474494 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 52.

It can be divided in two parts, 6163343 and 3433616, that added together give a palindrome (9596959).

The spelling of 61633433433616 in words is "sixty-one trillion, six hundred thirty-three billion, four hundred thirty-three million, four hundred thirty-three thousand, six hundred sixteen".