368151444 has 18 divisors (see below), whose sum is σ = 930605130. Its totient is φ = 122717136.

The previous prime is 368151419. The next prime is 368151457. The reversal of 368151444 is 444151863.

368151444 is a `hidden beast` number, since 3 + 68 + 151 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 316484100 + 51667344 = 17790^2 + 7188^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10226429 = 368151444 / (3 + 6 + 8 + 1 + 5 + 1 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 368151399 and 368151408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5113179 + ... + 5113250.

It is an arithmetic number, because the mean of its divisors is an integer number (51700285).

Almost surely, 2^368151444 is an apocalyptic number.

It is an amenable number.

368151444 is an abundant number, since it is smaller than the sum of its proper divisors (562453686).

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

368151444 is a wasteful number, since it uses less digits than its factorization.

368151444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226439 (or 10226434 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 368151444 is about 19187.2729693409. The cubic root of 368151444 is about 716.7078634572.

The spelling of 368151444 in words is "three hundred sixty-eight million, one hundred fifty-one thousand, four hundred forty-four".