368493172108992 has 448 divisors, whose sum is σ = 1251604457456640. Its totient is φ = 104133229903872.

The previous prime is 368493172108967. The next prime is 368493172109009. The reversal of 368493172108992 is 299801271394863.

368493172108992 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 9 + 317 + 210 + 8 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 368493172108992.

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 63 ways as a sum of consecutive naturals, for example, 1892454903 + ... + 1892649609.

It is an arithmetic number, because the mean of its divisors is an integer number (2793759949680).

Almost surely, 2^{368493172108992} is an apocalyptic number.

368493172108992 is a gapful number since it is divisible by the number (32) 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 368493172108992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625802228728320).

368493172108992 is an abundant number, since it is smaller than the sum of its proper divisors (883111285347648).

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

368493172108992 is a wasteful number, since it uses less digits than its factorization.

368493172108992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196445 (or 196429 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 368493172108992 in words is "three hundred sixty-eight trillion, four hundred ninety-three billion, one hundred seventy-two million, one hundred eight thousand, nine hundred ninety-two".