61466577566416 has 80 divisors (see below), whose sum is σ = 135599439830400. Its totient is φ = 26718125519360.

The previous prime is 61466577566357. The next prime is 61466577566501.

61466577566416 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14893410 + ... + 18567358.

It is an arithmetic number, because the mean of its divisors is an integer number (1694992997880).

Almost surely, 2^{61466577566416} 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 61466577566416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67799719915200).

61466577566416 is an abundant number, since it is smaller than the sum of its proper divisors (74132862263984).

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

61466577566416 is a wasteful number, since it uses less digits than its factorization.

61466577566416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678124 (or 3678118 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 70.

The spelling of 61466577566416 in words is "sixty-one trillion, four hundred sixty-six billion, five hundred seventy-seven million, five hundred sixty-six thousand, four hundred sixteen".