368155097856 has 648 divisors, whose sum is σ = 1340206437024. Its totient is φ = 96334479360.

The previous prime is 368155097851. The next prime is 368155097857. The reversal of 368155097856 is 658790551863.

368155097856 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 5 + 509 + 78 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 368155097793 and 368155097802.

It is not an unprimeable number, because it can be changed into a prime (368155097851) 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 71 ways as a sum of consecutive naturals, for example, 201066861 + ... + 201068691.

Almost surely, 2^368155097856 is an apocalyptic number.

368155097856 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 368155097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670103218512).

368155097856 is an abundant number, since it is smaller than the sum of its proper divisors (972051339168).

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

368155097856 is a wasteful number, since it uses less digits than its factorization.

368155097856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 368155097856 in words is "three hundred sixty-eight billion, one hundred fifty-five million, ninety-seven thousand, eight hundred fifty-six".