368144390039328 has 96 divisors (see below), whose sum is σ = 1227147966817920. Its totient is φ = 105184111438080.

The previous prime is 368144390039213. The next prime is 368144390039329. The reversal of 368144390039328 is 823930093441863.

368144390039328 is a `hidden beast` number, since 3 + 6 + 81 + 443 + 9 + 0 + 0 + 3 + 93 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (368144390039329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30435211383 + ... + 30435223478.

It is an arithmetic number, because the mean of its divisors is an integer number (12782791321020).

Almost surely, 2^{368144390039328} is an apocalyptic number.

It is an amenable number.

368144390039328 is an abundant number, since it is smaller than the sum of its proper divisors (859003576778592).

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

368144390039328 is a wasteful number, since it uses less digits than its factorization.

368144390039328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60870434887 (or 60870434873 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 368144390039328 in words is "three hundred sixty-eight trillion, one hundred forty-four billion, three hundred ninety million, thirty-nine thousand, three hundred twenty-eight".