61454688645416 has 256 divisors, whose sum is σ = 130592635430400. Its totient is φ = 26874432000000.

The previous prime is 61454688645407. The next prime is 61454688645457.

61454688645416 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27669827186 + ... + 27669829406.

It is an arithmetic number, because the mean of its divisors is an integer number (510127482150).

Almost surely, 2^{61454688645416} 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 61454688645416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65296317715200).

61454688645416 is an abundant number, since it is smaller than the sum of its proper divisors (69137946784984).

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

61454688645416 is a wasteful number, since it uses less digits than its factorization.

61454688645416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2928 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 68.

The spelling of 61454688645416 in words is "sixty-one trillion, four hundred fifty-four billion, six hundred eighty-eight million, six hundred forty-five thousand, four hundred sixteen".