363335616152145 has 96 divisors (see below), whose sum is σ = 775302388224000. Its totient is φ = 153282772887552.

The previous prime is 363335616152029. The next prime is 363335616152147. The reversal of 363335616152145 is 541251616533363.

363335616152145 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 3 + 5 + 6 + 1 + 615 + 2 + 14 + 5 = 666.

It is not a de Polignac number, because 363335616152145 - 2¹⁰ = 363335616151121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 363335616152091 and 363335616152100.

It is not an unprimeable number, because it can be changed into a prime (363335616152147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6364281 + ... + 27697929.

It is an arithmetic number, because the mean of its divisors is an integer number (8076066544000).

Almost surely, 2^{363335616152145} is an apocalyptic number.

363335616152145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

363335616152145 is an abundant number, since it is smaller than the sum of its proper divisors (411966772071855).

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

363335616152145 is a wasteful number, since it uses less digits than its factorization.

363335616152145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21337839 (or 21337836 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 54.

The spelling of 363335616152145 in words is "three hundred sixty-three trillion, three hundred thirty-five billion, six hundred sixteen million, one hundred fifty-two thousand, one hundred forty-five".