61375688657316 has 288 divisors, whose sum is σ = 178867288454400. Its totient is φ = 17563353984000.

The previous prime is 61375688657281. The next prime is 61375688657333.

It is a happy number.

61375688657316 is a `hidden beast` number, since 6 + 1 + 3 + 7 + 568 + 8 + 6 + 57 + 3 + 1 + 6 = 666.

61375688657316 is nontrivially palindromic in base 10.

61375688657316 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 320952306 + ... + 321143478.

It is an arithmetic number, because the mean of its divisors is an integer number (621066973800).

Almost surely, 2^{61375688657316} is an apocalyptic number.

61375688657316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61375688657316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89433644227200).

61375688657316 is an abundant number, since it is smaller than the sum of its proper divisors (117491599797084).

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

61375688657316 is a wasteful number, since it uses less digits than its factorization.

61375688657316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191667 (or 191662 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 61375688657316 in words is "sixty-one trillion, three hundred seventy-five billion, six hundred eighty-eight million, six hundred fifty-seven thousand, three hundred sixteen".