61336533563316 has 192 divisors, whose sum is σ = 173774903904000. Its totient is φ = 18554930634240.

The previous prime is 61336533563287. The next prime is 61336533563351.

61336533563316 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 65 + 3 + 3 + 563 + 3 + 16 = 666.

61336533563316 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5202855550 + ... + 5202867338.

It is an arithmetic number, because the mean of its divisors is an integer number (905077624500).

Almost surely, 2^{61336533563316} is an apocalyptic number.

61336533563316 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 61336533563316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86887451952000).

61336533563316 is an abundant number, since it is smaller than the sum of its proper divisors (112438370340684).

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

61336533563316 is a wasteful number, since it uses less digits than its factorization.

61336533563316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18959 (or 18951 counting only the distinct ones).

The product of its digits is 23619600, while the sum is 54.

It can be divided in two parts, 6133653 and 3563316, that added together give a palindrome (9696969).

The spelling of 61336533563316 in words is "sixty-one trillion, three hundred thirty-six billion, five hundred thirty-three million, five hundred sixty-three thousand, three hundred sixteen".