369072104544 has 288 divisors, whose sum is σ = 1235576160000. Its totient is φ = 103024327680.

The previous prime is 369072104483. The next prime is 369072104551. The reversal of 369072104544 is 445401270963.

369072104544 is a `hidden beast` number, since 3 + 6 + 90 + 7 + 2 + 10 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 369072104544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20541837 + ... + 20559795.

It is an arithmetic number, because the mean of its divisors is an integer number (4290195000).

Almost surely, 2^369072104544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369072104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617788080000).

369072104544 is an abundant number, since it is smaller than the sum of its proper divisors (866504055456).

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

369072104544 is a wasteful number, since it uses less digits than its factorization.

369072104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18498 (or 18487 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 369072104544 in words is "three hundred sixty-nine billion, seventy-two million, one hundred four thousand, five hundred forty-four".