368045568000 has 1248 divisors, whose sum is σ = 1485453183552. Its totient is φ = 86900736000.

The previous prime is 368045567999. The next prime is 368045568001. The reversal of 368045568000 is 865540863.

368045568000 is a `hidden beast` number, since 3 + 6 + 80 + 4 + 5 + 568 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (368045567999) and next prime (368045568001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368045568001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2686463932 + ... + 2686464068.

It is an arithmetic number, because the mean of its divisors is an integer number (1190266974).

Almost surely, 2^368045568000 is an apocalyptic number.

368045568000 is a gapful number since it is divisible by the number (30) 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 368045568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742726591776).

368045568000 is an abundant number, since it is smaller than the sum of its proper divisors (1117407615552).

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

368045568000 is a wasteful number, since it uses less digits than its factorization.

368045568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 368045568000 in words is "three hundred sixty-eight billion, forty-five million, five hundred sixty-eight thousand".