368421375456 has 192 divisors, whose sum is σ = 1125661017600. Its totient is φ = 117008990208.

The previous prime is 368421375451. The next prime is 368421375503. The reversal of 368421375456 is 654573124863.

368421375456 is a `hidden beast` number, since 3 + 6 + 84 + 2 + 13 + 7 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368421375451) 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 31 ways as a sum of consecutive naturals, for example, 5071035 + ... + 5143173.

It is an arithmetic number, because the mean of its divisors is an integer number (5862817800).

Almost surely, 2^368421375456 is an apocalyptic number.

368421375456 is a gapful number since it is divisible by the number (36) 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 368421375456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562830508800).

368421375456 is an abundant number, since it is smaller than the sum of its proper divisors (757239642144).

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

368421375456 is a wasteful number, since it uses less digits than its factorization.

368421375456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72438 (or 72424 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 368421375456 in words is "three hundred sixty-eight billion, four hundred twenty-one million, three hundred seventy-five thousand, four hundred fifty-six".