363429309430368 has 144 divisors (see below), whose sum is σ = 1087917605938800. Its totient is φ = 114764970839040.

The previous prime is 363429309430309. The next prime is 363429309430373. The reversal of 363429309430368 is 863034903924363.

It is a happy number.

363429309430368 is a `hidden beast` number, since 3 + 6 + 3 + 429 + 30 + 94 + 30 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300690678 + ... + 301896906.

It is an arithmetic number, because the mean of its divisors is an integer number (7554983374575).

Almost surely, 2^{363429309430368} is an apocalyptic number.

363429309430368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

363429309430368 is an abundant number, since it is smaller than the sum of its proper divisors (724488296508432).

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

363429309430368 is a wasteful number, since it uses less digits than its factorization.

363429309430368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261325 (or 1261314 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 63.

The spelling of 363429309430368 in words is "three hundred sixty-three trillion, four hundred twenty-nine billion, three hundred nine million, four hundred thirty thousand, three hundred sixty-eight".