108041602733568 has 2400 divisors, whose sum is σ = 416970858585600. Its totient is φ = 27638315679744.

The previous prime is 108041602733539. The next prime is 108041602733579. The reversal of 108041602733568 is 865337206140801.

108041602733568 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 4 + 1 + 6 + 0 + 2 + 73 + 3 + 568 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 79035553621 + ... + 79035554987.

It is an arithmetic number, because the mean of its divisors is an integer number (173737857744).

Almost surely, 2^{108041602733568} is an apocalyptic number.

108041602733568 is a gapful number since it is divisible by the number (18) 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 108041602733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208485429292800).

108041602733568 is an abundant number, since it is smaller than the sum of its proper divisors (308929255852032).

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

108041602733568 is a wasteful number, since it uses less digits than its factorization.

108041602733568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 108041602733568 in words is "one hundred eight trillion, forty-one billion, six hundred two million, seven hundred thirty-three thousand, five hundred sixty-eight".