368115597116160 has 288 divisors, whose sum is σ = 1181934470535168. Its totient is φ = 97642214277120.

The previous prime is 368115597116153. The next prime is 368115597116231. The reversal of 368115597116160 is 61611795511863.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 368115597116094 and 368115597116103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637623789 + ... + 638200851.

Almost surely, 2^{368115597116160} is an apocalyptic number.

368115597116160 is a gapful number since it is divisible by the number (30) 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 368115597116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590967235267584).

368115597116160 is an abundant number, since it is smaller than the sum of its proper divisors (813818873419008).

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

368115597116160 is a wasteful number, since it uses less digits than its factorization.

368115597116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577971 (or 577957 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 60.

The spelling of 368115597116160 in words is "three hundred sixty-eight trillion, one hundred fifteen billion, five hundred ninety-seven million, one hundred sixteen thousand, one hundred sixty".