61355686413168 has 480 divisors, whose sum is σ = 217036430208000. Its totient is φ = 15775402696704.

The previous prime is 61355686413163. The next prime is 61355686413191. The reversal of 61355686413168 is 86131468655316.

61355686413168 is a `hidden beast` number, since 6 + 1 + 3 + 5 + 56 + 8 + 6 + 413 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61355686413163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50585883 + ... + 51784581.

It is an arithmetic number, because the mean of its divisors is an integer number (452159229600).

Almost surely, 2^{61355686413168} is an apocalyptic number.

61355686413168 is a gapful number since it is divisible by the number (68) 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 61355686413168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108518215104000).

61355686413168 is an abundant number, since it is smaller than the sum of its proper divisors (155680743794832).

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

61355686413168 is a wasteful number, since it uses less digits than its factorization.

61355686413168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198869 (or 1198860 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 61355686413168 in words is "sixty-one trillion, three hundred fifty-five billion, six hundred eighty-six million, four hundred thirteen thousand, one hundred sixty-eight".