369048055993344 has 3168 divisors, whose sum is σ = 1415080501452800. Its totient is φ = 95569451679744.

The previous prime is 369048055993327. The next prime is 369048055993387. The reversal of 369048055993344 is 443399550840963.

369048055993344 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 480 + 5 + 59 + 93 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 2905890204609 + ... + 2905890204735.

Almost surely, 2^{369048055993344} 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 369048055993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707540250726400).

369048055993344 is an abundant number, since it is smaller than the sum of its proper divisors (1046032445459456).

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

369048055993344 is an frugal number, since it uses more digits than its factorization.

369048055993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 72.

The spelling of 369048055993344 in words is "three hundred sixty-nine trillion, forty-eight billion, fifty-five million, nine hundred ninety-three thousand, three hundred forty-four".