61233877833216 has 320 divisors, whose sum is σ = 183358982416896. Its totient is φ = 17996105318400.

The previous prime is 61233877833211. The next prime is 61233877833259.

61233877833216 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×61233877833216² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61233877833216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61233877833211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194264796 + ... + 194579748.

Almost surely, 2^{61233877833216} is an apocalyptic number.

61233877833216 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 61233877833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91679491208448).

61233877833216 is an abundant number, since it is smaller than the sum of its proper divisors (122125104583680).

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

61233877833216 is a wasteful number, since it uses less digits than its factorization.

61233877833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315333 (or 315317 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The spelling of 61233877833216 in words is "sixty-one trillion, two hundred thirty-three billion, eight hundred seventy-seven million, eight hundred thirty-three thousand, two hundred sixteen".