368098228067328 has 2112 divisors, whose sum is σ = 1305528132280320. Its totient is φ = 98569587916800.

The previous prime is 368098228067243. The next prime is 368098228067357. The reversal of 368098228067328 is 823760822890863.

368098228067328 is a `hidden beast` number, since 3 + 6 + 80 + 98 + 2 + 2 + 80 + 67 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 495421571725 + ... + 495421572467.

Almost surely, 2^{368098228067328} is an apocalyptic number.

368098228067328 is a gapful number since it is divisible by the number (38) 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 368098228067328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652764066140160).

368098228067328 is an abundant number, since it is smaller than the sum of its proper divisors (937429904212992).

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

368098228067328 is a wasteful number, since it uses less digits than its factorization.

368098228067328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 368098228067328 in words is "three hundred sixty-eight trillion, ninety-eight billion, two hundred twenty-eight million, sixty-seven thousand, three hundred twenty-eight".