61834641485184 has 192 divisors, whose sum is σ = 178409478733200. Its totient is φ = 20556694978560.

The previous prime is 61834641485153. The next prime is 61834641485189. The reversal of 61834641485184 is 48158414643816.

It is a happy number.

61834641485184 is a `hidden beast` number, since 6 + 1 + 8 + 3 + 464 + 1 + 48 + 51 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61834641485189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331443404 + ... + 1331489844.

Almost surely, 2^{61834641485184} is an apocalyptic number.

61834641485184 is a gapful number since it is divisible by the number (64) 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 61834641485184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89204739366600).

61834641485184 is an abundant number, since it is smaller than the sum of its proper divisors (116574837248016).

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

61834641485184 is a wasteful number, since it uses less digits than its factorization.

61834641485184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49513 (or 49498 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The spelling of 61834641485184 in words is "sixty-one trillion, eight hundred thirty-four billion, six hundred forty-one million, four hundred eighty-five thousand, one hundred eighty-four".