6161428761984 has 192 divisors, whose sum is σ = 17917168183200. Its totient is φ = 2032197672960.

The previous prime is 6161428761913. The next prime is 6161428762003. The reversal of 6161428761984 is 4891678241616.

6161428761984 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 4 + 2 + 8 + 7 + 619 + 8 + 4 = 666.

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

It is a super-3 number, since 3×6161428761984³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93264004 + ... + 93330044.

Almost surely, 2^{6161428761984} is an apocalyptic number.

6161428761984 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 6161428761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8958584091600).

6161428761984 is an abundant number, since it is smaller than the sum of its proper divisors (11755739421216).

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

6161428761984 is a wasteful number, since it uses less digits than its factorization.

6161428761984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66913 (or 66898 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 6161428761984 in words is "six trillion, one hundred sixty-one billion, four hundred twenty-eight million, seven hundred sixty-one thousand, nine hundred eighty-four".