368456104320 has 128 divisors (see below), whose sum is σ = 1174624035840. Its totient is φ = 98240722944.

The previous prime is 368456104319. The next prime is 368456104327. The reversal of 368456104320 is 23401654863.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368456104327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24382207 + ... + 24397313.

It is an arithmetic number, because the mean of its divisors is an integer number (9176750280).

Almost surely, 2^368456104320 is an apocalyptic number.

368456104320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

368456104320 is an abundant number, since it is smaller than the sum of its proper divisors (806167931520).

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

368456104320 is a wasteful number, since it uses less digits than its factorization.

368456104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27832 (or 27820 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 368456104320 in words is "three hundred sixty-eight billion, four hundred fifty-six million, one hundred four thousand, three hundred twenty".