368806331504 has 80 divisors (see below), whose sum is σ = 790902712320. Its totient is φ = 165554737920.

The previous prime is 368806331501. The next prime is 368806331521. The reversal of 368806331504 is 405133608863.

It is a super-2 number, since 2×368806331504² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368806331501) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 933449 + ... + 1268439.

It is an arithmetic number, because the mean of its divisors is an integer number (9886283904).

Almost surely, 2^368806331504 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 368806331504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395451356160).

368806331504 is an abundant number, since it is smaller than the sum of its proper divisors (422096380816).

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

368806331504 is a wasteful number, since it uses less digits than its factorization.

368806331504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335158 (or 335152 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 368806331504 in words is "three hundred sixty-eight billion, eight hundred six million, three hundred thirty-one thousand, five hundred four".