61316555561316 has 96 divisors (see below), whose sum is σ = 173427222044160. Its totient is φ = 18580060749600.

The previous prime is 61316555561269. The next prime is 61316555561323.

61316555561316 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 6 + 5 + 5 + 5 + 5 + 613 + 16 = 666.

61316555561316 is nontrivially palindromic in base 10.

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

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, 30369751 + ... + 32325761.

It is an arithmetic number, because the mean of its divisors is an integer number (1806533562960).

Almost surely, 2^{61316555561316} is an apocalyptic number.

61316555561316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61316555561316 is an abundant number, since it is smaller than the sum of its proper divisors (112110666482844).

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

61316555561316 is a wasteful number, since it uses less digits than its factorization.

61316555561316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982422 (or 1982414 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 54.

The spelling of 61316555561316 in words is "sixty-one trillion, three hundred sixteen billion, five hundred fifty-five million, five hundred sixty-one thousand, three hundred sixteen".