6165941354496 has 1536 divisors, whose sum is σ = 24182981222400. Its totient is φ = 1465122816000.

The previous prime is 6165941354479. The next prime is 6165941354497. The reversal of 6165941354496 is 6944531495616.

It is a happy number.

6165941354496 is a `hidden beast` number, since 6 + 1 + 6 + 5 + 9 + 4 + 135 + 4 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is not an unprimeable number, because it can be changed into a prime (6165941354497) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13375143706 + ... + 13375144166.

It is an arithmetic number, because the mean of its divisors is an integer number (15744128400).

Almost surely, 2^{6165941354496} is an apocalyptic number.

6165941354496 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 6165941354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091490611200).

6165941354496 is an abundant number, since it is smaller than the sum of its proper divisors (18017039867904).

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

6165941354496 is a wasteful number, since it uses less digits than its factorization.

6165941354496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 534 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 6165941354496 in words is "six trillion, one hundred sixty-five billion, nine hundred forty-one million, three hundred fifty-four thousand, four hundred ninety-six".