61417655671416 has 128 divisors (see below), whose sum is σ = 172036455897600. Its totient is φ = 18107698798080.

The previous prime is 61417655671409. The next prime is 61417655671439.

61417655671416 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 61417655671416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286906150 + ... + 287120138.

It is an arithmetic number, because the mean of its divisors is an integer number (1344034811700).

Almost surely, 2^{61417655671416} is an apocalyptic number.

61417655671416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61417655671416 is an abundant number, since it is smaller than the sum of its proper divisors (110618800226184).

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

61417655671416 is a wasteful number, since it uses less digits than its factorization.

61417655671416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243429 (or 243425 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 60.

The spelling of 61417655671416 in words is "sixty-one trillion, four hundred seventeen billion, six hundred fifty-five million, six hundred seventy-one thousand, four hundred sixteen".