61583388338516 has 48 divisors (see below), whose sum is σ = 117857395656000. Its totient is φ = 27923682743040.

The previous prime is 61583388338489. The next prime is 61583388338569.

61583388338516 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

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, 34915775 + ... + 36637113.

It is an arithmetic number, because the mean of its divisors is an integer number (2455362409500).

Almost surely, 2^{61583388338516} is an apocalyptic number.

It is an amenable number.

61583388338516 is a deficient number, since it is larger than the sum of its proper divisors (56274007317484).

61583388338516 is a wasteful number, since it uses less digits than its factorization.

61583388338516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723352 (or 1723350 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 68.

The spelling of 61583388338516 in words is "sixty-one trillion, five hundred eighty-three billion, three hundred eighty-eight million, three hundred thirty-eight thousand, five hundred sixteen".