368882355312 has 240 divisors, whose sum is σ = 1080282857472. Its totient is φ = 121853341440.

The previous prime is 368882355287. The next prime is 368882355329. The reversal of 368882355312 is 213553288863.

368882355312 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 82 + 3 + 553 + 1 + 2 = 666.

It is a super-2 number, since 2×368882355312² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 235405953 + ... + 235407519.

Almost surely, 2^368882355312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368882355312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540141428736).

368882355312 is an abundant number, since it is smaller than the sum of its proper divisors (711400502160).

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

368882355312 is a wasteful number, since it uses less digits than its factorization.

368882355312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2080 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 368882355312 in words is "three hundred sixty-eight billion, eight hundred eighty-two million, three hundred fifty-five thousand, three hundred twelve".